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Sex activityH5Mixingh6Condoms7 Circumcision8 PrEP + VM9 TransmissionB Progression%CTestingE ART start IART"M Non-HIV mort8O FertilityQ Migrationc$S MHU virginp U MHC virginVMHU STObMHC STmMHU STM;yMHC STMp݄MHU LTHؐMHC LTH͜MHU LTLGĨMHC LTL MLU virgin MLC virginN}MLU STMLC ST߄MLU STM,MLC STMSMLU LTHeMLC LTH3MLU LTLMLC LTLg  FH virgin n FH ST qFH SW}"FH LTH}8/FH LTLQ; FL virgin "i=FL STfHFL LTH\RFL LTL?]BirthsR] Child ratesaChild M;hChild FoMonthlyftCD4 calibrationvuANC calibrationOvHCT calibrationLlvHSRC calibrationwDeath calibration;R822114433**))((--++//,,..00 !!$$%%&& ''   55""##!_xlfn.GAMMA.DIST%AgeEffectCondom: $  ARTcondom: : ! ARTcoverage<.. ARTdataYrF: ~  ARTdataYrM: ~ $ARTinfectivity: a  ARTuptake:D %Assortativeness:   AsymStart:).?! AZTefficacy:< AZTpropn:)?! AZTpropnAdj:E  BaseCondom: . ! CD4propn200:+15! CD4propn350:+14! CD4propn500:+13! CD4propn700:+12# CD4propnGT500:+12" CD4transm200: " CD4transm350: " CD4transm500: " CD4transm700: # CircPrevBirth: ! CircPrevUlt:  ClientsPA:  &CoitalEffectFert: $CondomEfficacy: b &CondomRednPrEP_F: &CondomRednPrEP_M: " CondomRednVM: $CondomShapeFSW: 4 # CondomShapeLT: 3 # CondomShapeST: 2  CurrMonth:% CurrResults;0CurrYear:! DebutLowRRF: ! DebutLowRRM: " DebutMedianF: " DebutMedianM: ! DebutShapeF: ! DebutShapeM:  DeliveryWk: " DualEfficacy:; ! Duration200: f ! Duration350: f ! Duration500: f %DurationPrimary: f DurFSW:  &EarlyARTmult1to4:)*?'EarlyARTmult5to14:)+? Evolution: v %EvolutionTransm: Z )ExcludeInterrupters: y ! ExtNVPpropn:)? FirstANCwk: ! FSWageAlpha:  " FSWageLambda:  %FSWcontactAge21:  %FSWcontactAlpha:  &FSWcontactLambda:  'FSWcontactMarried:  ! FtoM_client: I FtoM_LT: H FtoM_ST: G  GammaMeanF: GammaSDF: ! HAARTtransm:= " HCTageAlphaF: " HCTageAlphaM: ! HCTageBetaF: ! HCTageBetaM:  HighRiskF:   HighRiskM:   HIVmort200: g  HIVmort350: g  IeDEAbias1:'D IeDEAbias2:'D IeDEAbias3:'D IeDEAbias4:'D  IeDEAbias5:'D IMRshape:4  InitCondom: ' # InitCondomFSW: ( ! InitFSWprev: C 'IntensifiedEBFneg<UU'IntensifiedEBFpos:j )IntensifiedEBFstart<VV(InterpolationStart:) # MatARTrollout<++" MatARTuptake<,," MatIncidence:+38 MCefficacy:  MeanAgeDif:  " MeanAgeDifLT:   MedianCirc: $MicrobicideEff: $MicrobicideInd:)B@! MMCdataYear: $ Module1.ProjectToYearMSMpropn: MtoF_LT: H MtoF_ST: G MtoF_SW: I MtoM_ST: ! NVPefficacy::  NVPuptake:D OIstart:)-? OneYear! ORcondomFSW: & %ORcondomMarital: %  PaedStart:)/?$PartnerRate20F:  # PregnantStart:),?PrEP_ind:)4@PrEPdurF: PrEPdurM: # PrEPefficacyF: # PrEPefficacyM: %PrEPefficacyMSM: $ProjectionYear: RegHCTdurF:  RegHCTdurM: # RelFreqSexAge: # ! Rescreening:)?$Rescreening6wk<22$RescreenUptake:G  RescreenWk:F  Reset# ResultSet;09$ ResultSetM;16A RetestAdj:  RetestART: %RetestDiagnosed: &RiskCompensation: * $RRearlyPaedART:& RRforEBF: # RRpartnerLowF:  # RRpartnerLowM:  'RRpartnerMarriedF:  'RRpartnerMarriedM:   RRper10yr: n $RRtestAdvanced:P # RRtestAgePaed:Q " RRtestVirgin:O &RRuntreatedMortF: o SDageDif:   SDageDifLT:  ! Sensitivity:8  SexActsLT: "  SexActsST: ! SexRatio:  ShapeCirc:  StartYear:& TempResults1;10& TempResults2;16& TempResults3;1@& TempResults4;1E " UltARTdelayF: | " UltARTdelayM: | " UltARTdelayP:'  UltARTyrF:   UltARTyrM:  " UltCondomFSW: 1 ! UltCondomLT: 0 ! UltCondomST: /  UltimateYr:* &UntestedRescreen:H " VCT_FSWentry: 9 VCTage: VCTage2F: VCTage2M: VCTageM:  VCTcondom: 8 VCTind:)@VCTmale: ! VCTmale2010:  VCTuptake:)?VMdurF: Window:9 5f f<<P      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0      !"#$%&'()*+,-./0     ff !"#$%&'()*                                                                                                                                                                                                                            @ lxl4^3 45<6 210/.-,+*)('&#"!       78@GI< < < 8@< U< < G< I8< U<       !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcefghijklmnopqrstuvwxyz{|}~@< I< < 8U< I< < @G< U< I8< < < I< U@< < 8< I<       !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdeghijklmnopqrstuvwxyz{|}~UG< < I< @8< U< I< $%< < U8I@< < < UI< < 8< @< IU      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefgijklmnopqrstuvwxyz{|}~< < < I8< U< @< I< < 8U< I< < @< UI< 8< < < IU      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijlmnopqrstuvwxyz{|}~< @k6< 8<Z_`abcdefghijklmnopqrstuvwxyz{|}~3 A@@   w&;Vertical transmission parameters in absence of interventionPMTCT parameters7Prob of MTCT per month in 1st 3 months of breastfeeding:Prob of MTCT per month of breastfeeding after 1st 3 months8RR of MTCT after birth if mother breastfeeds exclusively/Mean gestation at first antenatal visit (weeks)Mean gestation at birth (weeks)0Mean gestation at time of repeat testing (weeks) breastfeedingMediandurationShape parameterNo intervention scenarioDefault PMTCT scenario Propn ever1Mixed feeding by mothers knowing their HIV statusAExclusive breastfeeding (EBF) by mothers knowing their HIV statusDuration of breastfeedingOther feeding parametersI% of mothers who switch to formula if they discover they are HIV-positiveI% of women who practise abrupt weaning after discontinuing EBF before 3 mH% of women who practise abrupt weaning after discontinuing EBF after 3 m)Paediatric HIV survival parameters on ART=Paediatric HIV survival parameters in absence of interventionRProb of MTCT per month of breastfeeding, in 1st 3 months after mother seroconvertsAge (inmonths)(HIV-negative, at risk of HIV acquisitionMother HIV-negativeMFEBFMother acutelyinfectedHIV+ mother, notaware of HIV statusHIV+ mother, aware of HIV status not being breastfedHIV- negative, HIV-positiveInfected after birth ART-naveOn ART,startedearlyStopped ART, stillaliveAIDSdeathsAge lastbirthdayat startMalesFemalesCurrently breastfedCurrently not breastfedNew HIV infectionsNon-AIDS mortalityin current year Current year Current yrrProportion breastfeeding Baseline,mothersassumedHIV-negMothers knowingthey are HIV-positive Practising Monthly prob of changing feedingDemographic parameters<Shape parameter for non-AIDS mortality in first year of life% of births that are male Not tested 1st ANC visitMother HIV+ atMother HIV- at 1Child uninfected, HIV+ mother aware of HIV status3Child uninfected, HIV+ mother unaware of HIV status%Child uninfected, mother HIV-negativeNon-AIDS Starting ARTbaRootTotalAge Current monthStartingrateMortality statisticsInfant mortality rate (/1000)Under-5 mortality rate (/1000)HIV incidence statistics"New HIV infections at/before birthTotal new HIV infectionsHIV prevalence statisticsTotal number of children on ARTCumulative number started ART)Age distribution of children starting ART Start yearProject to yearInfected at birthNo PMTCTPMTCTOn ART, started late1st 3monthsOn ART >3 monthsOn ART8% redn in prob of MTCT at birth if woman receives sd NVPL% redn in prob of MTCT at birth if woman receives sd NVP + AZT from 28 weeksM% redn in rate of MTCT after birth if child receives extended NVP prophylaxis&Sensitivity of HIV screening algorithmF% of women testing negative on initial screen who agree to rescreening;% of women who missed initial screen who agree to screeningTested positiveTested negativeFirst screeningSecond screeningBecame infected, tested +'Became infected, untested or tested negRemained uninfectedUntested or tested negativeCD4 >500 CD4 350-500 CD4 200-349CD4 <200Recently infected, undetected HIV-negative At deliveryTested+, CD4 200-350, no ARTTested+, CD4 <200, no ART!Child infected at birth, no PMTCT&Child infected at birth, failing PMTCTof HIV status, no ART HIV+ mother, receiving ARTOProb that a woman testing positive receives NVP/AZT if not qualifying for HAARTDependent rates of decrementProb of Propn due to stoppingBF to gettingHIVNewmaternalMothersnew to chronic HIV acute HIVmother transition to enteringchronicto HIVMTCT HIV mother to adoptingmixed BF new to MF HIV aware known HIV MF motheron ART EBF motherProb of progressionfailed no receiptof PMTCT)Excess rate of progression in newborn (H)0Annual rate of progression in older children (G)FFactor by which excess rate of progression reduces per year of age (c)3Adjustment factor applied to H if no PMTCT received(Annual mortality rate in older children Excess mortality rate in newbornAFactor by which excess mortality rate reduces per year of age (d)death ifto AIDSdeathHigh risk phaseLow risk phase ART early high risk to low risk!Scaling factor applied to maximumFMaximum increase in non-AIDS mortality due to no breastfeeding, by ageSexual behaviour assumptions% in high risk group8Relative rate of partnership formation in low risk groupLRate of partnership formation in unmarried high risk 20-year olds, per annumARelative rate of partnership formation in married high risk group:Median age at start of sexual activity, in high risk group;Relative rate of starting sexual activity in low risk groupRates of marriageMaleFemaleRates of divorceInitial populationNon-HIV mortalityprob at exact age xprob if aged x last birthdayNon-HIV mortality in malesNon-HIV mortality in femalesUltimate non-HIVmortality probabilityimprovement factorFemale partner age preferencesShort-term partnershipsMinimumageGamma dbn parametersAlphaBeta7Mean age difference in short-term relationships (years)HStandard deviation of age difference in short-term relationships (years)Long-term partnerships Partner ageMeanVariance,Initial sex activity distribution in females High riskLow riskVirgin UnmarriedMarriedUnmarried, sexually experienced$Current sex activity distribution insexually experienced females short-term relationships7Partnership formation age adjustment factor: gamma meanEPartnership formation age adjustment factor: gamma standard deviation adjustmentfactorTotal short-term partnershipssexually experienced males*Initial sex activity distribution in males Male init Male current Partnership formation"% of short-term male partners aged$% of short-term female partners agedTotal marital partnerships!% of long-term male partners aged#% of long-term female partners aged Total maritalChange in cohort size Adjusted beta4Mean age difference in marital relationships (years)EStandard deviation of age difference in marital relationships (years)'Profile of population at start of month Age (years)NevertestedEverReceiving regular testingAlone+ PrEP + microbicide Never testedCD4500+350-499200-349<200Last tested when negativeTested positive, ART-nave'Started ART with CD4 500+, still on ARTStarted current yrlast yr Started 2 years ago Started 3 Started 4*Started ART with CD4 350-499, still on ART*Started ART with CD4 200-349, still on ART'Started ART with CD4 <200, still on ARTInterrupted ART9(a) Partnership formation, sexual debut and sexual mixing(b) Commercial sex'Sex worker age distribution: gamma mean5Sex worker age distribution: gamma standard deviation)Number of sex acts with clients per annum/Average duration of commercial sex work (years)ENumber of FSW sex acts per year, for high risk unmarried male aged 21-Relative rate of visiting FSWs in married men-FSW contact age adjustment factor: gamma mean;FSW contact age adjustment factor: gamma standard deviationLambdaFSW contacts paFSW age distribution Total FSWsAcuteBAssortativeness of mixing (0 = completely assortative, 1 = random)"Number of new ST partnerships (pa)Number of new marriages (pa)Current population summaryTotal populationTotal HIV-positive Total on ARTST partnerships MarriagesInitial % of partners who are Total marriedMale marriage adjustment factorMale circumcision assumptionsC(a) Rates of male circumcision prior to male circumcision promotion0Proportion of males circumcised soon after birth*Proportion of men who ever get circumcised3Median age at male circumcision (all circumcisions)NWeibull shape p< arameter for distribution of times to circumcision post-infancy Proportion circumcised Probability in next yrC(b) % reduction in susceptibility to HIV in men who are circumcised%(c) Coital frequencies and condom use:Average monthly frequency of sex for married women aged 20ORelative frequency of sex in marital relationships, per 20-year increase in age?Reduction in log odds of condom use per year of increase in ageVOdds ratio of condom use in marital relationships relative to short-term relationshipsTOdds ratio of condom use in FSW-client contacts relative to short-term relationshipsYOdds ratio of condom use in 1985 relative to 1998, for short-term & marital relationshipsNOdds ratio of condom use in 1985 relative to 1998, for FSW-client interactionsLWeibull shape parameter for time to behaviour change, in FSW-client contactsCondom reporting bias parameterNo biasscenario High bias=Probability of condom use in unmarried women aged 20, in 1998XOdds ratio of ultimate condom use relative to that in 1998, for short-term relationshipsUOdds ratio of ultimate condom use relative to that in 1998, for marital relationshipsQWeibull shape parameter for time to behaviour change, in short-term relationshipsNWeibull shape parameter for time to behaviour change, in marital relationshipsModelled6Average number of sex acts per short-term relationshipMonthly sex acts inmarital relationshipsMedian time to behaviour change ST partner LT partner FSW-clientCondom use in women aged 20Female odds of condom use Female probability of condom useMale probability of condom useHIV transmission assumptions"(b) HIV transmission probabilitiesQAverage transmission prob per act of unprotected sex with an untreated ST partnerMAverage transmission prob per act of unprotected sex with an untreated spouseKAverage transmission prob per act of unprotected sex between FSW and client0Relative infectiousness in primary HIV infection<Relative infectiousness at CD4 500+, post-primary, ART-nave?Relative infectiousness at CD4 350-499, post-primary, ART-nave?Relative infectiousness at CD4 200-349, post-primary, ART-nave<Relative infectiousness at CD4 <200, post-primary, ART-naveF(d) Effect of HIV and knowledge of HIV status on sexual risk behaviourMReduction in proportion of sex acts that are unprotected, after HIV diagnosisNReduction in proportion of sex acts that are unprotected, after ART initiationCurrent CD4 count% reduction in frequency of sex(% reduction in entry into commercial sex=Factor by which rate of exit from commercial sex is increased'% reduction in condom use if using PrEP+Pre-exposure prophylaxis (PrEP) assumptions.% reduction in condom use if using microbicideCD4 500+ CD4 350-499Lastnegative Diagnosedand ART-naveART withThis yrLast yr 2 yrs ago 3 yrs ago >3 yrs agoCD4 350-499CD4 200-349 InterruptedRelative infectivitycoital frequencyHIV survival assumptionsPrimary CD4 stage4Annual HIV-related mortality rate, in absence of ART@Average time to next disease stage (in years), in absence of ART,Annual incidence of opportunistic infections Unadjusted proportion unprotected+CD4 dbn in treated patients, by time on ARTBaseline CD4 <200 % with CD4 >500 % with CD4 350-500 % with CD4 200-349 % with CD4 <200Baseline CD4 200-349Baseline CD4 350-500Baseline CD4 >500!Average CD4 by baseline CD4 countYears since ART initiation CD4 <200 CD4 200-349 CD4 350-500 CD4 >5001Coefficients of variation in CD4, by baseline CD4Alpha parametersBeta parameters relative #sex acts Susceptiblemalesfemales# High risk male, high risk female" High risk male, low risk female! Low risk male, low risk female" Low risk male, high risk femaleJRelative infectiousness in short-term contacts, by risk groups of partnersLRelative infectiousness in marital relationships, by risk groups of partnersFrequently tested, acute Frequentlytested,acuteUncircumcised maleNo PrEPPrEPCircumcised male*Probability of transmission per sex act toPre-exposure prophylaxis (PrEP) Indicator Ave transm-Probability of transmission to high risk male,Probability of transmission to low risk male+Probability of transmission to high risk ST*Probability of transmission to low risk STto high risk femaleto low risk femaleto FSW, per sex actto high risk female STto low risk female ST No PrEP/VMVaginal Microbicides (VM)VM$Vaginal microbicide (VM) assumptionsProbability of transmissionProbability of acquiring HIV;Average transmission probability per short-term partnershipFrom high risk male toHigh risk femaleLow risk femaleFrom low risk male toFrom high risk female toHigh risk male Low risk maleDAverage transmission probability per period, in marital partnerships Average transmission probabilityper sex act, from client to FSW Uncircumcised Circumcised Annual FSWcontactsusceptibilityin womenAverageRelative transmission Protected Unprotected transmissionper actRate of transmission to highrisk female LT, per periodRate of transmission to low$Rate of transmission to high risk LT#Rate of transmission to low risk LT'Voluntary counselling and testing (VCT)2Prevention of mother-to-child transmission (PMTCT)Antiretroviral treatment (ART)Males aged 15+ starting ARTFemales aged 15+ starting ART Children (aged <15) starting ART:Rate of 1st-time HIV testing in uninfected females aged 25,Proportion of OIs that lead to HIV diagnosisHIV-negative malesHIV-positive malesHIV-negative femalesHIV-positive femalesHIV testing assumptionssexually experiencedDemographic assumptions'Effect of coital frequency on fertilityCurrent male populationCurrent female population fertilitySexually experienced Ever tested Regular VCTRegular VCT + PrEPRegular VCT + VM(Annual rate of initiation in sex workers,Annual rate of initiation in 15-19 year olds,Annual rate of initiation in 20-24 year olds,Annual rate of initiation in 25-49 year olds*Annual rate of initiation in 50+ year olds=Frequency of testing (per annum) if receiving regular testingBAverage duration of retention in regular testing programme (years)2Frequency of testing (per annum) if receiving PrEP7Average duration of retention in PrEP programme (years):% reduction in susceptibility to HIV if using microbicide 9Frequency of testing (per annum) if receiving microbicide>Average duration of retention in microbicide programme (years);Annual rate of initiation into regular testing: sex workers?Annual rate of initiation into regular testing: 15-19 year olds?Annual rate of initiation into regular testing: 20-24 year olds?Annual rate of initiation into regular testing: 25-49 year olds=Annual rate of initiation into regular testing: 50+ year oldsPProfile of population at end of month, after changes in HIV status/disease stage:Monthly rates of HIV testing in sexually experienced males<Monthly rates of HIV testing in sexually experienced femalesMen sex workersOtherwomen`Monthly rates of joining prevention programmes in HIV-negative, sexually-experienced individuals Regular HCThMonthly probabilities of joining prevention programmes in HIV-negative, sexually-experienced individualsQIncrease in rate of CD4 decline and rate of mortality per 10-year increase in age?Relative rate of CD4 decline and rate of mortality, female:maleAdult males, CD4 <200Adult females, CD4 <200-Monthly rate of transition between CD4 statesUntreated malesUntreated femalesTRatio of minimum untreated mortality to untreated mortality when ART rollout is zeroUReduction in log of untreated mortality rate per unit increase in ART initiation rate(Mortality adjustment factors at CD4 <200%Probability of exit in month of entry:% of WHO stage III patients (non-TB) eligible to start ART<% asymptomatic non-pregnant pat< ients eligible at CD4 200-349>% of pulmonary TB patients, CD4 200-349, eligible to start ART;% of pregnant women, CD4 200-349, eligible for lifelong ART9% of pregnant women, CD4 >=350, eligible for lifelong ART<% asymptomatic non-pregnant patients eligible at CD4 350-4999% asymptomatic non-pregnant patients eligible at CD4 500+<% of pulmonary TB patients, CD4 >=350, eligible to start ART4Annual incidence of WHO stage IV-defining conditions Annual incidence of pulmonary TB<% of other newly-diagnosed ART-eligible adults who start ART;% of newly-diagnosed ART-eligible OI patients who start ART>% of newly-diagnosed ART-eligible pregnant women who start ARTARelative rate of ART initiation if HIV-diagnosed and ART eligible9Monthly rates of HIV testing in virgin HIV-positive males;Monthly rates of HIV testing in virgin HIV-positive females#Rate of testing due to HIV symptoms`Monthly rates of HIV diagnosis leading to immediate ART initiation in sexually experienced malesbMonthly rates of HIV diagnosis leading to immediate ART initiation in sexually experienced females Pregnant OI patients Other% starting ART immediatelyMonthly AIDS mortality rateCurrent virgin male population Current virgin female population3Total diagnoses leading to immediate ART initiation AdjustmentVirginsFTotal number starting ART among those diagnosed prior to current monthBQuadratic terms for calculating rate of ART initiation at CD4 <200NUltimate delay (months) to starting ART if previously diagnosed, with CD4 <200QMinimum ave delay (months) to starting ART if previously diagnosed, with CD4 <2002Year to which ART initiation numbers are specified1Year in which ultimate ART initiation rates apply Stored rootRate now (b^2)-4ac+% of pregnant women who receive HIV testing&% of PMTCT services offering AZT + NVP=% of women receiving rescreening at 6-week immunization visitS% of HIV-diagnosed untreated women whose children receive NVP while being breastfed:% of infants born to HIV+ mothers who get 6-week screening Rate of ARTStarting ART with CD4 AIDS deathsPre-ARTCD4 stage at ART initiation=Annual HIV mortality rate during first 6 months of ART, males@Annual HIV mortality rate during first months 7-18 of ART, malesAAnnual HIV mortality rate during first 19-30 months of ART, malesAAnnual HIV mortality rate during first 31-42 months of ART, males=Annual HIV mortality rate after first 42 months of ART, males?Annual HIV mortality rate during first 6 months of ART, femalesBAnnual HIV mortality rate during first months 7-18 of ART, femalesCAnnual HIV mortality rate during first 19-30 months of ART, femalesCAnnual HIV mortality rate during first 31-42 months of ART, females?Annual HIV mortality rate after first 42 months of ART, females:Increase in ART mortality rate per 10-year increase in age\Reduction in log of mortality rate in 1st yr of ART per unit increase in ART initiation rateBRatio of minimum mortality in 1st year of ART to maximum mortalityERatio of minimum mortality after 1st year of ART to maximum mortality_Reduction in log of mortality rate after 1st yr of ART per unit increase in ART initiation rateFirst year of ART>12 months on ARTCMortality adjustment factors in males who started ART with CD4 <200"Time since ART initiation (months)0-67-1819-3031-42>42EMortality adjustment factors in females who started ART with CD4 <200/Monthly mortality in men with baseline CD4 500+2Monthly mortality in men with baseline CD4 350-4992Monthly mortality in men with baseline CD4 200-349/Monthly mortality in men with baseline CD4 <2001Monthly mortality in women with baseline CD4 500+4Monthly mortality in women with baseline CD4 350-4994Monthly mortality in women with baseline CD4 200-3491Monthly mortality in women with baseline CD4 <200-Probability of death in month of starting ARTMales, by baseline CD4Females, by baseline CD4#leading to immediate ART initiationbirths Births to(Births to untreated HIV-positive mothersmothers diagnosedStoredacutelyG% of pregnant women with CD4 reduced to next stage due to haemodilution(CD4 count after haemodilution adjustment1st ANC visit, not on ART Mother on ARTat 1st ANC visitKnown positive"Annual maternal HIV incidence rate %9Prob of MTCT at birth if woman starts HAART with CD4 <200<Prob of MTCT at birth if woman starts HAART with CD4 of 200+@Prob of MTCT at birth if woman started HAART prior to conceptionTested+, CD4 200+, on ARTTested+, CD4 <200, on ART-% of pregnant women eligible for WHO option BC% redn in prob of MTCT at birth if woman receives AZT from 28 weeksGProb that a woman testing positive receives AZT if not receiving sd NVP5% of HIV-diagnosed women who choose not to breastfeedWindow period (weeks)With window periodExcl. window periodEstimates for mid-1985Male circumcision.Number of medical male circumcisions performed8(c) Rollout of medical male circumcision (MMC) campaigns+Year to which numbers of MMCs are specified.Year in which ultimate MMC probability applies Insert additions above this row.'Flow variables that are updated monthlyNew infections at/before birth#New infections due to breastfeedingCStock variables that are updated annually, copied from "Population" MHU virgin MHC virgin MLU virgin MLC virgin FH virgin FL virginMigration adjustmentfactors at end of current year Age at endof year birthday atyear end-Probability of sexual debut in last 12 months Female init.Probability of divorce/widowhood in current yrFH LTHFH LTLFL LTHFL LTLMH LTHMH LTLML LTHML LTL(Prob of marriage in sexually experienced Retiring fromsex workRelative rate of Entry into Exit fromNew sexworkers Base rateof entryAverage probability of becomingwidowed due to non-AIDS mort%Number of children starting ART (<15)$Number of adult females starting ART"Number of adult males starting ART at CD4 <200 at CD4 200-349 at CD4 350-499 at CD4 500+ART error indicatorUltimate ReductionAdjustedTotal AIDS deathsTotal non-AIDS deathsLife expectancy at birth: males!Life expectancy at birth: females)Prob that 15-year old male dies before 60+Prob that 15-year old female dies before 60 New infections acquired sexuallyTotal HIV incidence rateIncidence in youth (15-24)Incidence in age group 15-49Incidence in women aged 15-24Incidence in men aged 15-24Incidence in women aged 15-49Incidence in men aged 15-49'New HIV infections due to breastfeedingTotal HIV infections&Total HIV infections in children (<15)#Total infections in 15-49 age groupTotal infections at ages 50+Total HIV prevalencePrevalence in children (<15)Prevalence in youth (15-24)Prevalence in age group 15-49Prevalence at ages 50+Prevalence in males aged 15-24 Prevalence in females aged 15-24Prevalence in males aged 15-49 Prevalence in females aged 15-49Prevalence in males aged 50+Prevalence in females aged 50+Prevalence in pregnant women 15-19 20-24 25-29 30-34 35-39 40+ Prevalence in female sex workersPrevention indicators'% of men aged 15-49 who are circumcised.% of HIV-positive adults who know their status+% of HIV-positive men who know their status-% of HIV-positive women who know their status% of men receiving PrEP% of women receiving PrEP!% of women receiving microbicides-% of men aged 15-24 using condoms at last sex/% of women aged 15-24 using condoms at last sex-% of men aged 25-49 using condoms at last sex/% of women aged 25-49 using condoms at last sex%% of adults who have ever been tested"% of men who have ever been tested$% of women who have ever been testedTotal number of ART patients"Total number of males (15+) on ART$Total number of females (15+) on ART'Antiretroviral treatment and unmet need CD4 350-499 CD4 500+ ART coverage in children ART coverage in a< dult males ART coverage in adult females <12 months 12-23 months 24-59 months >=60 months#Number of men becoming ART-eligible%Number of women becoming ART-eligibleART enrolment ratioART enrolment ratio: childrenART enrolment ratio: menART enrolment ratio: women-% of pregnant HIV+ women previously diagnosedCD4 calibration output#% of adult HIV+ population with CD4 500+ 350-499 200-349 <200+% of untreated pregnant HIV+ women with CD4Other demographic outputPopulation sizeNumber of birthsTotal fertility rateCumulative AIDS deathsGrowth rate/1000Dependency ratio Aging indexAIDS deaths in patients on ART$Rate of transmission at/before birth)Stock variables that are updated annually Stored values Total 15+0Prob that 15-year old male is infected before 602Prob that 15-year old female is infected before 604Age-specific flow variables that are updated monthlySexually acquiredHIV incidence rateNon-AIDS deaths Total deathsMortality probabilityby age last birthday by exact age Life tableLife expectancy at birth$Prob that 15-year old dies before 60;Age-specific flow variables calculated from monthly outputsCurrentPrevious Fertility byage last start of yrFertility by current age)Observed fertility rates (by current age)ASFRBirthsBirth rate/1000Death rate/1000Immigration rate/1000Cumulative incidenceNumber of children starting ART Starting ART% of men starting ART aged 15-24 25-34 35-44 45+% of women starting ART agedART-naive men (15+)ART-naive women (15+)#Men (15+) who have discontinued ART%Women (15+) who have discontinued ART"Children who have discontinued ART/Rate of ART initiation at CD4 <200, females 15+-Rate of ART initiation at CD4 <200, males 15+Average probability of condom use Insert additions above this line#Insert columns to the left of this.Antenatal HIV prevalence dataOverall + -15-1920-2425-2930-3435-39 Average bias 1997-2005BModel antenatal HIV prevalence after adjustment for antenatal bias4CD4 distributions in surveys of the adult populationn%Confidence interval width (one-sided)Model estimates.CD4 distributions in surveys of pregnant women<350.Net in-migration, males, by age at END of year0Net in-migration, females, by age at END of year%95% CI width (one-sided)5Model estimate of total HIV tests performed in adults$Household survey HIV prevalence dataPrevalence at ages 15-24Prevalence at ages 15-49Model estimates of prevalence15-2415-49Prevalence at ages 25+25+Prevalence in males aged 25+Prevalence in females aged 25+Recorded deaths in males40-4445-4950-5455-5960-6465-6970-7475-7980-8485-8990+Recorded deaths in femalesTotal deaths in males aged 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90+Total deaths in females aged Model death estimates in males Model death estimates in females(HIV prevalence in surveys of sex workers(Model estimate of HIV prevalence in FSWs0Model death estimates in males, after correction2Model death estimates in females, after correctionC% of breastfeeding HIV-diagnosed mothers who initially practise EBF4Relative rate of ART initiation by HIV disease stage"AIDS deaths in married individualsHigh risk malesLow risk malesHigh risk femalesLow risk femalesLTHLTL3AIDS mortality probabilities in married individuals,Profile of male population at start of month*Profile of male population at end of month,Profile of female population at end of month.Profile of female population at start of month CSW contacts;Condom efficacy in preventing HIV transmission, per sex act*Number of children starting ART at age <10 5-10 years60++-2Female HIV prevalence by age, in household surveys0Male HIV prevalence by age, in household surveysPrevalence in males aged 60+Prevalence in females agedBirths to HIV-positive mothers*% of pregnant HIV+ women previously on ART0Births to HIV-positive mothers previously on ARTPreviously diagnosed positivedMonthly rate of ART initiation in asymptomatic, non-pregnant adults diagnosed prior to current monthRate of acquiring HIVUntestedTestedSOdds ratio of ultimate condom use relative to that in 1998, for FSW-client contactsin men0Increase in HIV susceptibility per year below 25 Prior meanMean survival timeRatio AIDS deaths in adult males (15+)"AIDS deaths in adult females (15+)AIDS deaths in children&Fraction of survivors currently on ART.Adjust ART totals to exclude ART interrupters?YesTotal modelled deaths, 20-59Total recorded deaths, 20-59 Adjustment to initial prevalencein females aged 15-49 Male highPRate of testing in males, relative to non-pregnant asymptomatic females, in 2002PRate of testing in males, relative to non-pregnant asymptomatic females, in 2010Male RR Non-pregnant,neverNumber of sex workers on ART$Number of sex workers receiving PrEP$Total number of women receiving PrEPNumber of sex workersNumber of sex worker sex acts'Number of protected sex worker sex acts'New infections acquired sexually: males)New infections acquired sexually: females8Relative rate of mortality on ART (compared to pre-2010)1Relative rate of MMC promotion in 15-19 year olds1Relative rate of MMC promotion in 20-24 year olds1Relative rate of MMC promotion in 25-49 year olds/Relative rate of MMC promotion in 50+ year olds1Relative rate of MMC promotion in 10-14 year olds% of neonates circumcised1% of 10-year olds who are circumcised at year endLProb of MTCT at/before birth if woman seroconverts after 1st antenatal visitLProb of MTCT at/before birth if woman is seropositive at 1st antenatal visit9% of infants born to HIV+ mothers who get birth screeningSensitivity of PCR at birth PMTCT-exposedNot PMTCT-exposedSensitivity of PCR at 6 weeksNMakeham parameters for progression to late disease if infected at/before birthKMakeham parameters for mortality rate in untreated children in late diseaseSRelative mortality rate on ART, when compared to untreated children in late disease Early disease, not PMTCT-exposedEarly disease, PMTCT-exposed Late disease Early diseaseLate disease & late diseaseto late disease ifdeath in if untreatedARR of transmission per week of additional ART prior to conceptionLDistribution of times from ART initiation to delivery (pre-2010): gamma meanZDistribution of times from ART initiation to delivery (pre-2010): gamma standard deviation;% increase in mean ART duration if started during pregnancyMaximum - minimumAge at Life expectancy West level 26,Rate of testing in males relative to femalesTotal sex actsNeonatal circumcisions'Total diagnosed adults (15+), ART-nave+ VM%Mean of gamma age adjustment function3Standard deviation of gamma age adjustment functionL(a) Initial HIV prevalence among FSWs and female high risk group, ages 15-49.ART-naive HIV+ children (<5), not yet advancedTotal HIV tests performed@% of HIV-positive infants eligible to start ART in early disease40-49Weights>% of adults starting ART with CD4 <200 who have VL <400 copies;(c) Effect of ART and condoms on transmission probabilities:Median VL (log scale) prior to ART initiation, at CD4 <200:Decrease in VL per 100-unit increase in baseline CD4 countNIncrease in HIV infectiousness per unit increase in log of VL (at VL of 10000)ThetaDInfectiousness after ART initiation at CD4 <200, relative to pre-ARTBaseline CD4 350-499Baseline CD4 >=500+Adults on ART who started ART with CD4 <200.Adults on ART who started ART with CD4 200-349.Adults on ART who started ART with CD4 350-499+Adults on ART who started ART with CD4 500+-% of adults on ART who have VL <400 copies/mlXWeibull shape parameter for distribution of VLs/modifier<L for effect of VL on infectivity Over 5 yrs Over 10 yrs*Rate of ART initiation in previous 3 yearstOR for reduction in condom use in sex worker-client contacts due to reductions in condom promotion/risk compensationjOR for reduction in condom use in ST relationships due to reductions in condom promotion/risk compensationjOR for reduction in condom use in LT relationships due to reductions in condom promotion/risk compensationCReduction in rate of entry into commercial sex, after HIV diagnosis 2006-2013All ages, years0ART coverage, assuming universal ART eligibility%Probability of MMC in boys aged 10-1410-1425-4950+)Total MMC operations (excluding neonates),Prob of circumcision in next year if HIV-neg HIV+ probof MCJ% redn in rate of MTCT after birth if mother starts HAART during pregnancyK% redn in rate of MTCT after birth if mother started HAART before pregnancyTested+, CD4 >500, no ARTTested+, CD4 350-500, no ART IeDEA-SA biasOAnnual factor by which rate of CD4 decline is adjusted (evolution of virulence)High risk groupLow risk group%Probability of transmission to MSM inMSM assumptions0Fraction of men who start sexual activity as MSM/Fraction of MSM partners who are male at age 20BFactor by which % of partners who are male reduces per year of age% of MSM partners whoare men%Mean partner age difference at age 258Reduction in mean partner age difference per year of age-Standard deviation of partner age differences(Initial sex activity distribution in MSMsexually experienced MSM.Current % of new heterosexual partners who are*Current % of new same-sex partners who are HeterosexualSame-sexMSM highXRatio of initial prevalence in MSM to initial prevalence in heterosexual men, ages 15-49Prevalence in MSM;Rate of transmission at/before birth from diagnosed mothers@New infections at/before birth to mothers diagnosed before birthINew infections due to BF (to 18 months) to mothers diagnosed before birth5Births to HIV-positive mothers diagnosed before birthfrom diagnosed:Postnatal transmission to 18 months from diagnosed mothersMale completenessFemale completenessALog-logistic shape parameter for rate of starting sexual activityMAnnual factor by which transmission prob is adjusted (evolution of virulence)ERelative rate of progression to late disease, if infected after birth5Ultimate annual probability of MMC in boys aged 10-140% of women offered rescreening in late pregnancy&Recently infected, tested+, not on ART"Recently infected, tested+, on ART%Births to HIV-positive mothers on ARTHIV-positive, undiagnosed%HIV-positive, diagnosed but ART-nave,Monthly rates of HIV testing in virgin males.Monthly rates of HIV testing in virgin femalesPaediatric HIV testingZRelative rate of testing in virgins aged <15 to that in sexually experienced girls aged 15IRelative rate of testing in advanced HIV disease to that in early diseaseIRelative rate of ART initiation in early disease compared to late diseaseART soonafter diagnosis independent of EID screenL% of newly-diagnosed children who start ART soon after diagnosis if eligible-% eligible in early disease in kids aged 1-4 .% eligible in early disease in kids aged 5-14 FProbability of ART initiation immediately after early infant diagnosis ART among previously if rate = 1*Starting ART after deducting EID initiates initiation ifEarlydiseaseMonthly prob of testing(Monthly prob of testing and starting ARTEarly disease perinatal Postnatal(Monthly prob of being diagnosed positivebut not starting ARTlate HIV0% of HIV-positive children who know their status3% of HIV-positive individuals who know their statusTotal HIV+ diagnosed)Number of males aged 10-14 getting tested+Number of females aged 10-14 getting tested1Number of children <10 getting tested (excl. PCR)'Number of males aged 15+ getting tested)Number of females aged 15+ getting tested1Number of HIV-negative individuals getting tested Males aged 15+ Females aged 15+ Males aged 10-14 Females aged 10-14 Children <10 (excl. PCR)%Total HIV tests performed at ages 15+%Total HIV tests performed at ages <150HIV prevalence in individuals tested at ages 15+0HIV prevalence in individuals tested at ages <15Children 10-140Number of children <5 getting tested (excl. PCR) Stored rateRateProb(years)Average antibody testing rateNumber of MSM receiving PrEP+Number of female sex workers receiving PrEP0Probability of PrEP initiation in pregnant women>Probability of initiation into regular testing: pregnant women+Probability of initiation in pregnant womenA% reduction in susceptibility to HIV if using PrEP (heterosexual)8% reduction in susceptibility to HIV if using PrEP (MSM):Relative rate of PrEP initiation in low risk heterosexuals/Annual rate of initiation in female sex workers1Annual rate of initiation in 15-19 year old women1Annual rate of initiation in 20-24 year old women1Annual rate of initiation in 25-49 year old women/Annual rate of initiation in 50+ year old women6Annual rate of initiation in men who have sex with men/Annual rate of initiation in 15-19 year old men/Annual rate of initiation in 20-24 year old men/Annual rate of initiation in 25-49 year old men-Annual rate of initiation in 50+ year old menMSMHeterosexual men Other women(undiscounted)LFactor by which testing rate decreases in HIV-diagnosed individuals, pre-ART=Factor by which testing rate decreases in treated individualsAnnual rate of ART interruptionAnnual rate of ART resumption Time since(months)1st ARTstart% on ARTDifferential equationmodel of ART interruptionNReduction in condom use due to risk compensation/reduction in condom promotionLife years lost due to AIDS ?Ultimate delay (months) to starting ART in advanced HIV diseaseBMinimum ave delay (months) to starting ART in advanced HIV diseasePFactor by which testing rate increases in previously-tested individuals: initialPFactor by which testing rate increases in previously-tested individuals: maximumCurrent retest adjDiscontinuation rates0Annual rate of ART resumption after interruptionFInitial excess HIV mortality in infants who start ART in early diseaseUReduction in excess HIV mortality per year of age, for children who started ART earlyERelative rate of testing per at 19-59 months (relative to 5-14 years)!% of children tested at 18 monthsART inadvancedBAverage rate of ART initiation in advanced disease in last 3 yearsMortality adjustment factor,Children with untreated advanced HIV disease9Children who started ART in advanced HIV, 1st 3 mo of ART2Children who started ART in advanced HIV >3 mo agoUncircumcised menMMCweights % of HIV-negwho are tradnal MC if intending,% of children on ART who have VL <400 copies<Number of ART-exposed children over previous projection year5% of ART-experienced children aged <15 who are on ART/% of children on ART who have VL <400 copies/ml2% of individuals on ART who have VL <400 copies/mlVL <400 VL <1000 -% of ART patients who are virally suppressed .% of adults on ART who have VL <1000 copies/ml0% of children on ART who have VL <1000 copies/mlPrevalence in MSM (all ages)3% of individuals on ART who have VL <1000 copies/ml7Number of children <10 starting ART in advanced disease3ART-naive HIV+ children (<10) with advanced disease:Rate of ART initiation in children <10 in advanced disease1ART-naive HIV+ children <10 with advanced disease  % 4 -D'4  4 S  ^ rl`w pY1 \!`"c##v$K&'j(*m,.@/51c34 4M P5 X6 37 $89h:w^;u<= >`?@qA8CE)G_IK'NiXO'QiR U )Wk X1ZF[E\:V^Y_2`t`XaCbucde5fShijklm no\pzq'rEs t u5 u /vM w y'z<{|2~PƁn…Yw<Zċc]Ώ60GA  ܖ  0*|QKYSccB q=cf{=/$ ZO    dMbP?_*+%&?'?(?)?M \\iprint.uct.ac.za\IPP00324   4dXXA4 (210 x 297 mm)RICOH Aficio 3030 PCL 6LPT1:  8 ^ d''''d4 dDefault" dXX??&U  l~ @ A~ @ _~ (@ m~ R@ <`H(  ~  <0,XPP?i ]4@ V0nFG. 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