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An SIRS epidemic model with pulse vaccination and non-monotonic incidence rate
Institution:1. College of Engineering, Huazhong Agricultural University, Wuhan 430070, China;2. Department of Electronics and Information Systems, Akita Prefectural University, 84-4 Tsuchiya-Ebinokuchi, Honjo, Akita 015-0055, Japan;3. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, PR China;2. College of Information Science and Engineering, Northeastern University, and State Key Laboratory of Synthetical Automation for Process Industries (Northeastern University), Shenyang, 110819, PR China
Abstract:An SIRS epidemic model with pulse vaccination and non-monotonic incidence rate is introduced. Some sufficient conditions for the global attractivity of the infection-free periodic solution and permanence of this system are presented. Two numerical simulations are also given to illustrate our main results.
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