数学物理学报(英文版)

• 论文 • 上一篇    下一篇

GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS

靳祯; 马知恩; 韩茂安   

  1. 华北大学数学系, 太原 030051
  • 收稿日期:2003-10-18 修回日期:2004-11-30 出版日期:2006-04-20 发布日期:2006-04-20
  • 通讯作者: 靳祯
  • 基金资助:

    This work is supported by the National Sciences Foundation of China (10471040) and the Youth Science Foundations of Shanxi Province (20021003).

GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS

Zhen Jin; Ma Zhien; Han Maoan   

  1. Department of Mathematics, North University of China, Taiyuan 030051, China
  • Received:2003-10-18 Revised:2004-11-30 Online:2006-04-20 Published:2006-04-20
  • Contact: Zhen Jin

摘要:

In this article, an SIRS epidemic model spread by vectors (mosquitoes) which have an incubation time to become infectious is formulated. It is shown that a disease-free equilibrium point is globally stable if no endemic equilibrium point exists. Further, the endemic equilibrium point (if it exists) is globally stable
with a respect ``weak delay". Some known results are generalized.

关键词: SIRS epidemic model, time delay, global asymptotic stability, lyapunov functional

Abstract:

In this article, an SIRS epidemic model spread by vectors (mosquitoes) which have an incubation time to become infectious is formulated. It is shown that a disease-free equilibrium point is globally stable if no endemic equilibrium point exists. Further, the endemic equilibrium point (if it exists) is globally stable
with a respect ``weak delay". Some known results are generalized.

Key words: SIRS epidemic model, time delay, global asymptotic stability, lyapunov functional

中图分类号: 

  • 92D30