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一类带有非线性传染率的传染病模型的全局性态

张虹 孙法国 张静静

纺织高校基础科学学报Issue(4):436-440,449,6.
纺织高校基础科学学报Issue(4):436-440,449,6.

一类带有非线性传染率的传染病模型的全局性态

Global analysis of an epidemic model with nonlinear incidence rate

张虹 1孙法国 1张静静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

Assuming that latent and infected individuals have infectivity and infected individuals have life-long immunity after recovery of the disease .An infectious disease models was built with a class of nonlin-ear infectious rate (γaE/(1+ bEn )+ λaI/(1+ bIn )) ,the basic reproduction number was got that if the disease will become endemic diseases ,as well as discussion on the global stability of the disease-free e-quilibrium and the endemic equilibrium .

关键词

传染病模型/基本再生数/无病平衡点/地方病平衡点/全局稳定性

Key words

epidemic model/basic reproduction number/disease-free equilibrium point/endemic equilibri-um/global stability

分类

数理科学

引用本文复制引用

张虹,孙法国,张静静..一类带有非线性传染率的传染病模型的全局性态[J].纺织高校基础科学学报,2013,(4):436-440,449,6.

基金项目

国家自然科学基金资助项目 ()

纺织高校基础科学学报

OACSTPCD

1006-8341

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