Dynamic Behavior for an SIRS Model with Nonlinear Incidence Rate and Treatment
نویسندگان
چکیده
This paper considers an SIRS model with nonlinear incidence rate and treatment. It is assumed that susceptible and infectious individuals have constant immigration rates. We investigate the existence of equilibrium and prove the global asymptotical stable results of the endemic equilibrium. We then obtained that the model undergoes a Hopf bifurcation and existences a limit cycle. Some numerical simulations are given to illustrate the analytical results.
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عنوان ژورنال:
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013