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一类具扩散的SIR传染病模型的稳定性分析

朱道宇

Journal of Changshu Institute of TechnologyIssue(10):45-50,6.
Journal of Changshu Institute of TechnologyIssue(10):45-50,6.

一类具扩散的SIR传染病模型的稳定性分析

Stability Analysis of an SIR Epidemic Model with Diffusion

朱道宇1

作者信息

  • 1. 贵州民族大学 理学院,贵州 贵阳 550025
  • 折叠

摘要

Abstract

  An SIR epidemic model with spatial diffusion is investigated. Local stability of the endemic equilibri⁃um of the epidemic model is presented by analyzing eigenvalues corresponding to linearization equation. A suffi⁃cient condition is obtained for the global asymptotic stability of the endemic equilibrium by Lyapunov function method.

关键词

传染病模型/平衡点/渐近稳定

Key words

epidemic model/equilibrium/asymptotic stability

分类

数理科学

引用本文复制引用

朱道宇..一类具扩散的SIR传染病模型的稳定性分析[J].Journal of Changshu Institute of Technology,2012,(10):45-50,6.

基金项目

贵州民族大学校级科研基金资助项目(201202) (201202)

Journal of Changshu Institute of Technology

1008-2794

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