一类具有饱和率与暂时免疫力的时滞的SIRS模型的局部稳定性
일류구유포화솔여잠시면역력적시체적SIRS모형적국부은정성
Local Stability of a Delayed SIRS Model With Saturation Incidence and Temoorary Immunity
  • 万方数据
    安徽师范大学学报（自然科学版） 안휘사범대학학보（자연과학판）
    JOURNAL OF ANHUI NORMAL UNIVERSITY （NATURAL SCIENCE）
    2012年 2期 115-118 ,共4页

    尹红云%黄冉冉%张道祥

    윤홍운%황염염%장도상

    SIRS流行病模型%局部稳定性%暂时免疫力 SIRS流行病模型%跼部穩定性%暫時免疫力
    SIRS류행병모형%국부은정성%잠시면역력
    SIRS epidemic model%local stability%temporary immunity
    考虑了一类具有饱和率与暂时免疫力的时滞的SIRS流行病模型.此处患病者具有暂时的免疫期,且经过一定周期后再回到易感者类.然后通过分析相应的特征方程,讨论无病平衡点和地方平衡点的局部稳定性.
    고필료일류구유포화솔여잠시면역력적시체적SIRS류행병모형.차처환병자구유잠시적면역기,차경과일정주기후재회도역감자류.연후통과분석상응적특정방정,토론무병평형점화지방평형점적국부은정성.
    In this paper,we consider a delayed SIRS epidemic model with temporary immunity.The immunity gained by experiencing a disease is temporary,whenever infected the diseased individuals will return to the susceptible class after a fixed period.By analyzing the corresponding characteristic equations,the local stability of an endemic equilibrium and a disease-free equilibrium is discussed.
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