Bifurcation Analysis of an SIV Epidemic Model with the Saturated Incidence Rate

Abstract

In this paper, an SIV epidemic model with the saturated incidence rate is investigated, considering the factors of population dynamics such as the constant recruitment of population, the natural morality and vaccination strategy. By carrying out the bifurcation analysis of the model, it is shown that numerous kinds of bifurcation occur for the model, such as Hopf bifurcation and Bogdanov–Takens bifurcation. The main results are illustrated by numerical simulations.