Stability techniques in SIR epidemic models

In biological communities interaction among different species affect their stability. In this paper, we consider a nonlinear SIR model, which describes the dynamics of the interaction between susceptible and infected individuals in population. We establish stability techniques to find out the equilibria for the model and their numerical results are given. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)