Table : Model Summary Year Population Subpopulation Composition Intervention Method Partnership Formation Outcome of Interest Validity Commercial sex workers, No Ordinary differential All unpartnered males HIV prevalence Strength: assess the effects unpartnered males (bridge equations(ODE); could only form the under different of intervention on different Heterosexual population), non-core group programs, Analytical solution sexual partnership with intervention target subgroups; sensitivity females and long-term unbreakable program only for and numerical CSW or get married. No scenarios; analysis 200014 No real world couples; core group, only examples concurrent partnership. mathematical data Limitation: all single males available for bridge equilibrium HIV status: susceptible and were assumed to only have group infective. sexual contacts with FSW, no specific intervention proposed Risk level which is distinguished Integro-differential S: Performed sensitivity by the risk of getting disease equations analytical analysis Homosexual Condom AIDS/HIV (sexual activity and safe sex); and numerical San Francisco, incidence L: proportionate mixing solution 20011 Proportionate USA HIV status: susceptible, infective assumption, when assortative mixing is a more realistic assumption Male IDUs, female IDUs, male Proposing the S: assessed the attribution of general population and female calculation of R0 but bridging population, locally Heterosexual No R0 general population. (considered not in detail unique Odessa, some IDUs be FSWs); equations has been 20039 Proportionate Ukraine L: No sensitivity analysis, constructed HIV status: susceptible and no intervention infective implementation, did not specify HIV stages The population is divided into Uncertainty Proportionate but the HIV incidence S: Performed uncertainty singles and pairs. Paired partners analysis of HAART nature of the partnership contributed by analysis 200310 Homosexual ODE; solve could be both negative, both is defined as casual or steady or casual Amsterdam, numerically L:Neglect types of positive(with the same stage or steady. Men in the steady relationship Netherlands partnership in between different stage) and discordant partnership will have less casual partnerships. Early HAART HIV incidence due HIV status: susceptible, infected treatment to early treatment stage 1(more infective) and Concurrency is not 200411 infected stage2 (less infective); allowed.
Table : Model Summary Year Population Subpopulation Composition Intervention Method Partnership Formation Outcome of Interest Validity 200014 Heterosexual No real world data Commercial sex workers, unpartnered males (bridge population), non-core group females and long-term unbreakable couples; HIV status: susceptible and infective. No programs, program only for core group, only available for bridge group Ordinary differential equations(ODE); Analytical solution and numerical examples All unpartnered males could only form the sexual partnership with CSW or get married. No concurrent partnership. HIV prevalence under different intervention scenarios; mathematical equilibrium Strength: assess the effects of intervention on different target subgroups; sensitivity analysis Limitation: all single males were assumed to only have sexual contacts with FSW, no specific intervention proposed 20011 Homosexual San Francisco, USA Risk level which is distinguished by the risk of getting disease (sexual activity and safe sex); HIV status: susceptible, infective Condom Integro-differential equations analytical and numerical solution Proportionate AIDS/HIV incidence S: Performed sensitivity analysis L: proportionate mixing assumption, when assortative mixing is a more realistic assumption 20039 Heterosexual Odessa, Ukraine Male IDUs, female IDUs, male general population and female general population. (considered some IDUs be FSWs); HIV status: susceptible and infective No Proposing the calculation of R0 but not in detail equations has been constructed Proportionate R0 S: assessed the attribution of bridging population, locally unique L: No sensitivity analysis, no intervention implementation, did not specify HIV stages 200310 Homosexual Amsterdam, Netherlands The population is divided into singles and pairs. Paired partners could be both negative, both positive(with the same stage or different stage) and discordant HIV status: susceptible, infected stage 1(more infective) and infected stage2 (less infective); Uncertainty analysis of HAART ODE; solve numerically Proportionate but the nature of the partnership is defined as casual or steady. Men in the steady partnership will have less casual partnerships. Concurrency is not allowed. HIV incidence contributed by steady or casual relationship S: Performed uncertainty analysis L:Neglect types of partnership in between 200411 Early HAART treatment HIV incidence due to early treatment