期刊文献+

具双时滞的SEIRS传染病模型指数收敛性(英文) 被引量:1

EXPONENTIAL STABILITY OF SEIRS EPIDEMIC MODEL WITH TWO DELAYS
下载PDF
导出
摘要 本文研究了一类具指数人口统计与结构的SEIRS传染病模型,利用一种新的基于比较原理的分析,获得了无病平衡点局部和全局指数稳定的两个充分条件. In this paper,a disease transmission model of SEIRS type with exponential demographic structure is studied.Two sufficient conditions are obtained to guarantee the local or global exponential stability of the disease free equilibrium by using a new technique based on the concept of comparison.
出处 《数学杂志》 CSCD 北大核心 2008年第3期265-270,共6页 Journal of Mathematics
基金 Supported by the Science foundation of Hubei Province education Department(B20082201)
关键词 传染病模型 指数稳定性 收敛率 指数收敛区域 epidemic model exponential stability convergence rate region of exponential convergence
  • 相关文献

参考文献6

  • 1Cooke K. L. , Yorke J. A. Some equations modelling growth processes and gonorrhea epidemics[J]. Math. Biosci. 1973,16(1-2) :75-101.
  • 2Busenberg S. , Cooke K. L. The effect of integral conditions in certain equations modelling epidemics and population growth[J]. J, Math. Biology. 1980,10(1) : 13-32.
  • 3Cooke K. L. , Van den Driessche P. Analysis of an SEIRS epidemic model with two delays[J]. J. Mathematical Biology. 1996.35(2) : 240-260.
  • 4Wang Wendi. Global behavior of an SEIRS epidemic model with time delays[J]. Applied Mathematics Letters. 2002,15(4): 423-428.
  • 5Liao Xiaoxin. Theory and Application of Stability for Dynamical Systems [M]. Beijing: National Defence Industry Publishing Company. 2000.
  • 6Zeng Zhigang, Fu Chaojin, Liao Xiaoxin. A delay differential inequality[J]. Ann. Diff. Eqs. 2002, 18(4) : 425-430.

引证文献1

二级引证文献8

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部