Hopf bifurcation analysis for a delayed SIRS epidemic model with a nonlinear incidence rate

Abstract

This paper is concerned with a delayed SIRS epidemic model with a nonlinear incidence rate. The main results are given in terms of local stability and Hopf bifurcation. Sufficient conditions for the local stability of the positive equilibrium and existence of Hopf bifurcation are obtained by regarding the time delay as the bifurcation parameter. Further… (More)

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Cite this paper

@inproceedings{Zhang2013HopfBA, title={Hopf bifurcation analysis for a delayed SIRS epidemic model with a nonlinear incidence rate}, author={Zizhen Zhang and Huizhong Yang}, year={2013} }