一类有迁移的SIS流行病模型

苟清明;王稳地

系统科学与数学 ›› 2007, Vol. 27 ›› Issue (4) : 587-596.

PDF(402 KB)
中国科学院数学与系统科学研究院期刊网
PDF(402 KB)
系统科学与数学 ›› 2007, Vol. 27 ›› Issue (4) : 587-596. DOI: 10.12341/jssms10251
论文

一类有迁移的SIS流行病模型

    苟清明(1), 王稳地(2)
作者信息 +

An SIS Epidemic Model with Population Dispersal

    Gou Qingming(1), Wang Wendi(2)
Author information +
文章历史 +

摘要

研究一类种群有迁移的流行病模型，得到了这类模型的基本再生数R0， 证明了R0<1无病平衡点是局部渐近稳定的， 而当R0>1时无病平衡点是不稳定的.进一步讨论了疾病持续存在与无病平衡点和地方病平衡点全局稳定的条件.

Abstract

An epidemic model with population dispersal is studied. The basic reproduction number R0 is obtained for the disease. It is shown that the disease-free equilibrium is locally asymptotically stable if R0<1 and is unstable if R0>1. Furthermore, conditions for the uniform persistence of disease and conditions for global stability of the disease-free equilibrium and the endemic equilibrium are obtained by Liapunov method and by analyzing the property of flow on the boundary, respectively.

关键词

传染病模型 / 种群迁移 / 疾病消失 / 地方病.

Key words

Epidemic model / population dispersal / disappearance of disease / endemic.

引用本文

EndNote

Ris (Procite)

Bibtex

导出引用
苟清明 , 王稳地. 一类有迁移的SIS流行病模型. 系统科学与数学, 2007, 27(4): 587-596. https://doi.org/10.12341/jssms10251
Gou Qingming , Wang Wendi. An SIS Epidemic Model with Population Dispersal. Journal of Systems Science and Mathematical Sciences, 2007, 27(4): 587-596 https://doi.org/10.12341/jssms10251
中图分类号： 92D30    34D20   
PDF(402 KB)

171

Accesses

0

Citation

Detail
段落导航
相关文章

/

〈 〉