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Titlebook: Mathematical and Statistical Approaches to AIDS Epidemiology; Carlos Castillo-Chavez Book 1989 Springer-Verlag Berlin Heidelberg 1989 AIDS

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The Stages of HIV Infection: Waiting Times and Infection Transmission Probabilitiesransmission probabilities between exposed and infected persons. We partition the infection period into four progressive stages: 1. infected but antibody negative; 2. antibody positive but asymptomatic; 3. pre-AIDS symptoms and/or abnormal hematologic indicator; and 4. clinical AIDS. We also define a
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Modeling Heterogeneity in Susceptibility and Infectivity for HIV Infection spread by behaviors that are far from uniformly distributed in the population, and substantial variations in biological aspects of susceptibility and infectivity are also likely. How adequately a model represents this heterogeneity will substantially determine its accuracy and usefulness for captur
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On the Role of Long Incubation Periods in the Dynamics of Acquired Immunodeficiency Syndrome (AIDS).ed waiting times in the infectious class. We also present some simulations that illustrate the effects of a changing mean sexual activity in the dynamics of HIV, and formulate a single group model for a heterogeneously mixed population with continuously-distributed sexual activity. This model forms
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Nonrandom Mixing Models of HIV Transmissionsmitted HIV, this implies that individuals select sex partners without regard to attributes such as familiarity, attractiveness, or risk of infection. This paper formulates a model for examining the impact of nonrandom mixing on HIV transmission. We present threshold conditions that determine when H
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The Structure and Context of Social Interactions and the Spread of HIVde: 1) how to model the patterns of contact among individuals in different risk groups, 2) the effects on the risk of transmission of the social context present at the time of a sexual interaction, and 3) ways to incorporate IV drug use into sexual transmission models. A migration matrix model for d
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Pair Formation in Sexually-Transmitted Diseasester by a susceptible possibly involves a different partner and such individuals get infected, with a constant probability per encounter, by infected partners. In order to match the model with data it is assumed that the probability of infection per “encounter” sums over all sexual contacts during a
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