一类具有脉冲接种、双时滞的SEIRS传染病模型研究分析

高建忠, 张太雷

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

数学季刊 >

2019 , Vol. 34 >Issue 1: 75 - 87

DOI: https://doi.org/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

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School of Science, Chang’an University

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.

录用日期: 2018-07-29

网络出版日期: 2020-10-07

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)；

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

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School of Science, Chang’an University

Accepted date: 2018-07-29

Online published: 2020-10-07

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)；

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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

本文引用格式

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

Abstract

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

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