Age-structured mathematical model for HIV/AIDS in a two-dimensional heterogeneous population

Abstract

In this paper, a two-dimensional age-structured mathematical model for HIV/AIDS in three different communities of a heterogeneous population is proposed. The two distinct classes of each community lead to a set of model equations with single ordinary and partial differential equations. Different rates of contact are considered among the individuals of the communities. The equilibrium states and the corresponding characteristic equations are obtained which are analyzed by Bellman and Cookes theorem, especially non-zero equilibrium state.