具双时滞的SEIRS传染病模型指数收敛性
구쌍시체적SEIRS전염병모형지수수렴성
EXPONENTIAL STABILITY OF SEIRS EPIDEMIC MODEL WITH TWO DELAYS
  • 万方数据
    数学杂志 수학잡지
    JOURNAL OF MATHEMATICS
    2008年 3期 265-270 ,共6页

    傅朝金%郑绿洲

    부조금%정록주

    传染病模型%指数稳定性%收敛率%指数收敛区域 傳染病模型%指數穩定性%收斂率%指數收斂區域
    전염병모형%지수은정성%수렴솔%지수수렴구역
    epidemic model%exponential stability%convergence rate%region of exponential convergence
    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.
    본문연구료일류구지수인구통계여결구적SEIRS전염병모형,이용일충신적기우비교원리적분석,획득료무병평형점국부화전국지수은정적량개충분조건.
    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.
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