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