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一类带隔离项的具非线性传染率的SIQ 模型的全局分析

张静静 孙法国

纺织高校基础科学学报Issue(3):309-314,6.
纺织高校基础科学学报Issue(3):309-314,6.

一类带隔离项的具非线性传染率的SIQ 模型的全局分析

Global analysis of an SIQ epidemic model with non-linear incidence rate

张静静 1孙法国1

作者信息

  • 1. 西安工程大学理学院,陕西西安710048
  • 折叠

摘要

Abstract

The global stability of an isolation SIQ epidemic mode with non-linear incidence rate is studied , and the basic reproduction number R0 was obtained .Based on the Lasalle invariance principle ,the global stability of the disease-free equilibrium was obtained .By means of point theorem and the distribution of equation root ,the existence and uniqueness of endemic equilibrium was obtained ,and the global stability of endemic equilibrium was proved by using theorem of extremal and Lyapunov function .

关键词

隔离/非线性传染率/基本再生数/平衡点/全局稳定性

Key words

isolation/non-linear incidence rate/basic reproduction number/equilibrium/global stability

分类

数理科学

引用本文复制引用

张静静,孙法国..一类带隔离项的具非线性传染率的SIQ 模型的全局分析[J].纺织高校基础科学学报,2014,(3):309-314,6.

基金项目

陕西省自然科学基础研究计划资助项目 ()

纺织高校基础科学学报

OACSTPCD

1006-8341

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