Bifurcation of Reaction]Diffusion Systems: Application to Epidemics of Many Species

This article considers a system of reaction]diffusion equations describing the spread of several bacterial infections among many interacting species. Conditions concerning the growth, infection, and interaction rates such that positive steady states can exist are obtained. The stabilities of the steady states are also studied. Bifurcation methods are used to show the existence of positive steady-state solutions, and the semigroup method is used to analyze the stability of the steady states