GLOBAL DYNAMICS OF AN EPIDEMIC MODEL WITH CONSTANT IMMIGRANT AND NONLINEAR INCIDENT RATE

In this paper, we study the global dynamics of an epidemic model with constant immigrant and nonlinear incident rate. By carrying out the bifurcation analysis of the model, we show that there exist some values of the model parameters such that numerous kinds of bifurcation occur for the model, such as Hopf bifurcation, Bogdanov-Takens bifurcation.