A GENERAL-SOLUTION OF THE PROBLEM OF MIXING OF SUBPOPULATIONS AND ITS APPLICATION TO RISK-STRUCTURED AND AGE-STRUCTURED EPIDEMIC MODELS FOR THE SPREAD OF AIDS
A GENERAL-SOLUTION OF THE PROBLEM OF MIXING OF SUBPOPULATIONS AND ITS APPLICATION TO RISK-STRUCTURED AND AGE-STRUCTURED EPIDEMIC MODELS FOR THE SPREAD OF AIDS
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DOI：
10.1093/imammb/8.1.1
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发表时间：
1991-01-01
期刊：
影响因子：
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通讯作者：
CASTILLOCHAVEZ, C
中科院分区：
文献类型：
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作者：
BUSENBERG, S;CASTILLOCHAVEZ, C
性传播疾病动力学研究的一个中心方面是混合。由于艾滋病的流行，对社会结构对疾病动态的影响的研究在过去几年中受到了相当大的关注。本文通过引入年龄结构，对Blythe和Castillo-Chavez社会/性框架进行了推广，并推导出了该框架通解的偏好函数表达式。通过对几个具体案例的讨论，我们强调了比例混合所起的作用，这是这种混合框架的唯一可分离的解决方案，我们为单一性活跃的同性恋人群制定了一个年龄结构的流行病模型，按风险和年龄分层，任意风险和年龄相关的混合以及可变的传染性。在年龄和风险比例混合的特殊情况下，计算了基本繁殖数的显式表达式。
A central aspect in the study of the dynamics of sexually transmitted diseases is that of mixing. The study of the effects of social structure in disease dynamics has received considerable attention over the last few years as a result of the AIDS epidemic. In this paper, we formulate a generalization of the Blythe and Castillo-Chavez social/sexual framework for human interactions through the incorporation of age structure, and derive an explicit expression in terms of a preference function for the general solution to this formulation. We emphasize the role played by proportionate mixing, the only separable solution to this mixing framework, through the discussion of several specific cases, and we formulate an age-structured epidemic model for a single sexually active homosexual population, stratified by risk and age, with arbitrary risk- and age-dependent mixing as well as variable infectivity. In the special case of proportionate mixing in age and risk, an explicit expression for the basic reproductive number is computed.