| 注册
首页|期刊导航|郑州大学学报(理学版)|具有治疗和疫苗接种的SVIR模型的稳定性分析

具有治疗和疫苗接种的SVIR模型的稳定性分析

侯文涛 王辉 胡志兴 廖福成

郑州大学学报(理学版)Issue(4):38-42,5.
郑州大学学报(理学版)Issue(4):38-42,5.DOI:10.3969/j.issn.1671-6841.2015.04.007

具有治疗和疫苗接种的SVIR模型的稳定性分析

Stability Analysis of an SVIR Model with Treatment and Vaccination

侯文涛 1王辉 1胡志兴 1廖福成1

作者信息

  • 1. 北京科技大学 数理学院 北京100083
  • 折叠

摘要

Abstract

An SVIR epidemic model with staged treatment and vaccination was studied. Firstly, the ex-istence conditions of the equilibrium points in different cases were discussed. Then, the local asymptoti-cally stability of the equilibrium points was studied, and the sufficient conditions for the system to occur the backward bifurcation were illustrated. Finally, the results were obtained by numerical simulation.

关键词

治疗/接种/平衡点/稳定性

Key words

treatment/vaccination/equilibrium point/stability

分类

数理科学

引用本文复制引用

侯文涛,王辉,胡志兴,廖福成..具有治疗和疫苗接种的SVIR模型的稳定性分析[J].郑州大学学报(理学版),2015,(4):38-42,5.

基金项目

国家自然科学基金资助项目,编号61174209 ()

北京科技大学冶金工程研究院基础研究项目,编号YJ2012-001 ()

郑州大学学报(理学版)

OA北大核心CSTPCD

1671-6841

访问量0
|
下载量0
段落导航相关论文