Stochastic Modeling of AIDS Epidemiology And HIV Pathogenesis

A systematic discussion of treatment on the development of stochastic, statistical and state space models of the HIV epidemic and of HIV pathogenesis in HIV-infected individuals, and presents the applications of these models. The book should be unique in several ways: it uses stochastic difference and differential equations to present the stochastic models of the HIV epidemic and HIV pathogenesis - in this sense, the deterministic models are considered as special cases when the numbers of different type of people or cells are very large; it provides a critical analysis of deterministic and statistical models in the literature; it develops state space models by combining stochastic models and statistical models; and it provides a detailed discussion of the pros and cons of the different modelling approaches.