Find in Library

Most of the infectious diseases associated with human population are still a threat to become epidemic in the globe. Mathematical models have been an important tool to study the complex behavior of infectious diseases. In this paper a deterministic SVIRS epidemic model with Holling type II incidence rate and treatment rate including three delays is investigated. Local stability of disease equilibrium and existence of Hopf bifurcation are discussed explicitly. Then, direction and stability of the bifurcated periodic solutions are determined. Finally, with the suitable choices of the parameters, numerical simulations are presented in order to verify effectiveness of the obtained theoretical results.