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Genotypic Inference of HIV-1 Tropism Using Population-based Sequencing of V3
Published on: December 27, 2010
Stochastic models for the spread of HIV in a mobile heterosexual population
A Sani1, D P Kroese, P K Pollett
1Department of Mathematics, University of Queensland, Brisbane, Australia. asani@maths.uq.edu.au
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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