title: Stochastic models for the spread of HIV in a mobile heterosexual population.
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.
authors.affiliation: Department of Mathematics, University of Queensland, Brisbane, Australia. asani@maths.uq.edu.au
authors.forename: A
authors.initials: A
authors.lastname: Sani
authors.forename: D P
authors.initials: DP
authors.lastname: Kroese
authors.forename: P K
authors.initials: PK
authors.lastname: Pollett
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D019353:Endemic Diseases; D005260:Female; D015658:HIV Infections / Q000453:epidemiology / Q000401:mortality / Q000635:transmission*; D020010:Heterosexuality; D006801:Humans; D008297:Male; D008390:Markov Chains; D008954:Models, Biological; D011156:Population Density; D011157:Population Dynamics; D013269:Stochastic Processes; D015996:Survival Rate