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

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【作者】 GAO JIAN-ZHONGZHANG TAI-LEI

【Author】 GAO JIAN-ZHONG;ZHANG TAI-LEI;School of Science, Chang’an University;

【通讯作者】 ZHANG TAI-LEI;

【机构】 School of Science, Chang’an University

【摘要】 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.

【基金】 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
  • 【DOI】10.13447/j.1674-5647.2019.03.06
  • 【分类号】O175;R181
  • 【下载频次】5
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