数学研究通讯

2019, v.35(03) 247-263

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An SIRS Epidemic Model with Pulse Vaccination, Birth Pulse and Logistic Death Rate
An SIRS Epidemic Model with Pulse Vaccination, Birth Pulse and Logistic Death Rate

GAO JIAN-ZHONG;ZHANG TAI-LEI;

摘要(Abstract):

In this paper, we propose an SIRS epidemic model with pulse vaccination, birth pulse and Logistic death rate. By using the stroboscopic map of a discrete dynamical system, the disease-free periodic solution(DFPS for short) of the model under pulse vaccination and birth pulse is obtained. Based on the Floquet theory and comparison theorem of impulsive differential equations, the global asymptotic stability of the DFPS is given, and sufficient conditions for the permanence of the model are obtained. In addition, numerical simulations are done to confirm our theoretical results.

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基金项目(Foundation): The Fundamental Research Funds for the Central Universities,CHD (300102129202);; the NSF (11701041) of China;; the Natural Science Basic Research Plan (2018JM1011) in Shaanxi Province of China;; Scientific Innovation Practice Project (300103002110) of Postgraduates of Chang’an University

作者(Author): GAO JIAN-ZHONG;ZHANG TAI-LEI;

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