【摘 要】
：
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 loc
【机 构】
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Jiangnan University,China;Anhui University of Finance and Economics,China
【出 处】
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第三届先进计算智能与智能信息学国际研讨会(The Third International Workshop on Adv
论文部分内容阅读
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,the properties of Hopf bifurcation such as the direction and stability are investigated by using the normal form theory and center manifold argument.Finally,some numerical simulations are presented to verify the theoretical analysis.
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