The Analysis of Epidemic Disease Propagation in Competition Environment

An autonomous SIRS epidemic model of two competitive species is established in this paper, in which One kind of disease can survive and have the chance of cross-infection, not only the disease of the cross-infection but also the additional disease death rates are considered in this model, through the analysis of this kind of model, we can gain the threshold value condition of the stability of equilibrium. Even more it can see the global stability of the model through simulation number value.