Stochastic models for the spread of HIV in a mobile heterosexual population.

@article{Sani2007StochasticMF,
  title={Stochastic models for the spread of HIV in a mobile heterosexual population.},
  author={Asrul Sani and Dirk P. Kroese and Philip K. Pollett},
  journal={Mathematical biosciences},
  year={2007},
  volume={208 1},
  pages={98-124}
}
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… CONTINUE READING
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