一类具有脉冲接种、双时滞的SEIRS传染病模型研究分析

doi:10.13371/j.cnki.chin.q.j.m.2019.01.009

数学季刊 ›› 2019, Vol. 34 ›› Issue (1): 75-87.doi: 10.13371/j.cnki.chin.q.j.m.2019.01.009

一类具有脉冲接种、双时滞的SEIRS传染病模型研究分析

School of Science, Chang’an University

接受日期:2018-07-29 出版日期:2019-03-30 发布日期:2020-10-07
作者简介:GAO Jian-zhong(1991-), male, native of Yulin, Shannxi, a graduate student of Chang'an University, engages in di®erential equation and its application; ZHANG Tai-lei(1980-), male, native of Songzi County, Hubei, a professor of Chang'an University, engages in di®erential equation and its application.
基金资助:
The Natural Science Basic Research Plan in Shaanxi Province of China(2018JM1011)； Natural Science Basic Research Plan in Shaanxi Province of China(2017JQ1014)； NSF of China(11701041)；

Analysis On an SEIRS Epidemic Model with Pulse Vaccination and Two Time Delays

School of Science, Chang’an University

Accepted:2018-07-29 Online:2019-03-30 Published:2020-10-07
About author:GAO Jian-zhong(1991-), male, native of Yulin, Shannxi, a graduate student of Chang'an University, engages in di®erential equation and its application; ZHANG Tai-lei(1980-), male, native of Songzi County, Hubei, a professor of Chang'an University, engages in di®erential equation and its application.
Supported by:
The Natural Science Basic Research Plan in Shaanxi Province of China(2018JM1011)； Natural Science Basic Research Plan in Shaanxi Province of China(2017JQ1014)； NSF of China(11701041)；

摘要/Abstract

摘要： In this paper, an SEIRS epidemic model with pulse vaccination and two time delays is proposed. By using stroboscopic map and comparison principle, the disease-free periodic solution(DFPS for short) is obtained and the global asymptotic stability of the DFPS is proved. The sufficient conditions for the permanence of the model are obtained. In addition, numerical simulations are done to confirm our theoretical results.

关键词: impulsive vaccination, time delay, threshold values, global stability, permanence

Abstract: In this paper, an SEIRS epidemic model with pulse vaccination and two time delays is proposed. By using stroboscopic map and comparison principle, the disease-free periodic solution(DFPS for short) is obtained and the global asymptotic stability of the DFPS is proved. The sufficient conditions for the permanence of the model are obtained. In addition, numerical simulations are done to confirm our theoretical results.

Key words: impulsive vaccination, time delay, threshold values, global stability, permanence

中图分类号:

O175

高建忠, 张太雷. 一类具有脉冲接种、双时滞的SEIRS传染病模型研究分析[J]. 数学季刊, 2019, 34(1): 75-87.

GAO Jian-zhong, ZHANG Tai-lei. Analysis On an SEIRS Epidemic Model with Pulse Vaccination and Two Time Delays[J]. Chinese Quarterly Journal of Mathematics, 2019, 34(1): 75-87.

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一类具有脉冲接种、双时滞的SEIRS传染病模型研究分析

Analysis On an SEIRS Epidemic Model with Pulse Vaccination and Two Time Delays

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