Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4501109 | Mathematical Biosciences | 2007 | 27 Pages |
Abstract
An important factor in the dynamic transmission of HIV is the mobility of the population. We formulate various stochastic models for the spread of HIV in a heterosexual mobile population, under the assumptions of constant and varying population sizes. We also derive deterministic and diffusion analogues for these models, using a convenient rescaling technique, and analyze their stability conditions and equilibrium behavior. We illustrate the dynamic behavior of the models and their approximations via a range of numerical experiments.
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Authors
A. Sani, D.P. Kroese, P.K. Pollett,