一类SIRS传染病模型的新Lyapunov函数

汤倩; 滕志东

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一类SIRS传染病模型的新Lyapunov函数

更新时间：2026-01-21

- 一类SIRS传染病模型的新Lyapunov函数
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 31, Issue 4, Pages: 398-403(2014)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175
- Published：2014
- 稿件说明：
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[1]汤倩,滕志东.一类SIRS传染病模型的新Lyapunov函数[J].新疆大学学报(自然科学版),2014,31(04):398-403.

汤倩, 滕志东. 一类SIRS传染病模型的新Lyapunov函数[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(4): 398-403.
[1]汤倩,滕志东.一类SIRS传染病模型的新Lyapunov函数[J].新疆大学学报(自然科学版),2014,31(04):398-403. DOI：

汤倩, 滕志东. 一类SIRS传染病模型的新Lyapunov函数[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(4): 398-403. DOI：

摘要

通过建立新的Lyapunov函数研究了两类SIRS传染病动力学模型

得到了两类模型的地方病平衡点的全局渐近稳定性.所得结果分别改进了文献[1

2]中的相关结论.

Abstract

In this paper

we investigate two classes of SIRS epidemic models with varying population size.By constructing new Lyapunov functions

the global asymptotic stability of the endemic equilibrium for these epidemic models is obtained. The results improve the relevant conclusions in [1

2].

关键词

Keywords

references

O’Regana S M,Kellyb T C,Korobenikov A.Lyapunov fuctions for SIR and SIRS epidemic models[J].Applied Mathematics Letters,2010,23:446-448.

马知恩,周义仓,王稳地,等.传染病动力学的数学建模与研究[M].北京:科学出版社,2004,125-147.

Kermack W O,Mc Kendrick A G.A contribution to the mathematical theory of epidemics[J].Proc R Soc Lond Ser A Math Phys Eng Sci,1927,115:700-721.

Korobenikov A.Lyapunov functions and global stability for SIR,SIRS,and SIS epidemic models[J].Applied Mathematics Letters,2002,15:955-960.

Korobenikov A,Maini P K.A Lyapunov fuction and global properties for SIR and SEIR epidemicological models with nonlinear incidence[J].Mathematical Biosciences and Engineering,2004,1:57-60.

Mena-Lorca J,Hethcote H W.Dynamic models of infectious diseases as regulators of population sizes[J].Journal of Mathematical Biology,1992,30:673-716.

Li J,Zhang J,Ma Z.Global analysis of some epidemic models with general contact rate and constant immigration[J].Applied Mathematics and Mechanics(English Edition),2004,25:4.

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Related Institution

乌鲁木齐市成人教育学院!830002,新疆大学数学系

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