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allows a simple assumed average susceptibility behavioral components biological and behavioral Castillo-Chavez consequences defined denote dhdu distribution effects of heterogeneity epidemic growth curve epidemic growth rate epidemiological model equation exponential distribution extent of variation functions heterogeneity in susceptibility Hethcote high infectivity variation high susceptibility variation HIV epidemic HIV infection HIV spread human immunodeficiency virus individual variation infected individual infection and death Infectivity and Susceptibility INFECTIVITY FOR HIV infectivity or susceptibility initial growth rate interaction level of variation low infectivity variation low susceptibility variation mean infectivity mean susceptibility medium infectivity variation medium susceptibility variation nondegenerate Note parameterization partitioning the population population average population heterogeneity population into discrete positively correlated probability per unit proportion uninfected RAND Corporation RAND HIV model remain uninfected risky behaviors shape parameter simplified spread of HIV susceptibility and infectivity susceptibility to infection transmission uninfected declines uninfected population variation in infectivity variation in susceptibility vary viduals