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

论文摘要

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.

论文目录

• 1 Introduction
• 2 Model Description
• 3 Global Stability of the DFPS
• 4 Permanence of Model
• 5 Numerical Simulation
• 6 Summary

文章来源

类型: 期刊论文

作者: GAO JIAN-ZHONG,ZHANG TAI-LEI

来源: Communications in Mathematical Research 2019年03期

年度: 2019

分类: 基础科学,医药卫生科技

专业: 数学,预防医学与卫生学

单位: School of Science, Chang’an University

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

分类号: O175;R181

DOI: 10.13447/j.1674-5647.2019.03.06

页码: 247-263

总页数: 17

文件大小: 1104K

下载量: 27