Abstract
In this paper, we restate previously obtained results on homogeneously-mixed single-group models for HIV (human immunodeficiency virus) with distributed 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 the basis for our formulation of an N-group model with arbitrary social/sexual mixing. The local stability analysis of this N-group model is discussed. A two-group example under preferred mixing that has multiple endemic equilibria is presented, as well as an example for an N-group model, under proportionate mixing, possessing multiple endemic equilibria.
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Castillo-Chavez, C., Cooke, K.L., Huang, W., Levin, S.A. (1989). On the Role of Long Incubation Periods in the Dynamics of Acquired Immunodeficiency Syndrome (AIDS). Part 2: Multiple Group Models. In: Castillo-Chavez, C. (eds) Mathematical and Statistical Approaches to AIDS Epidemiology. Lecture Notes in Biomathematics, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93454-4_9
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DOI: https://doi.org/10.1007/978-3-642-93454-4_9
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