Stochastic Models for Epidemics with Special Reference to AIDS

Abstract

This paper gives a review of some of the recent work on stochastic epidemic models and their deterministic counterparts. In particular it focusses on models for the spread of HIV infection and AIDS. The variability between realisations of an epidemic is discussed in some detail, and methods of assessing this variation are described. Numerical examples are given to illustrate various aspects of the models considered.