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一类带有非线性传染率的SEIR传染病模型的全局分析

张虹 孙法国 李海赟

纺织高校基础科学学报2011,Vol.24Issue(4):473-478,6.
纺织高校基础科学学报2011,Vol.24Issue(4):473-478,6.

一类带有非线性传染率的SEIR传染病模型的全局分析

Global analysis of a SEIR epidemic model with nonlinear incidence rate

张虹 1孙法国 1李海赟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

Abstractly assuming that latentives and infectives who are contagious and disease after recovery with lifelong immunity to the disease, an SEIR epidemic model with nonlinear incidence rate was established. It was obtained that the basic reproduction number determining whether the disease becomes endemic. The global stability of the disease-free and endemic equilibrium was proved.

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

Key words

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

分类

数理科学

引用本文复制引用

张虹,孙法国,李海赟..一类带有非线性传染率的SEIR传染病模型的全局分析[J].纺织高校基础科学学报,2011,24(4):473-478,6.

基金项目

陕西省教育厅自然科学基金资助项目(2010JK559) (2010JK559)

纺织高校基础科学学报

OACSTPCD

1006-8341

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