具有临时免疫的分布时滞SIRS流行病模型
SIRS Epidemic Model with Temporary Immunity and Distributed Delay
摘要: 本文研究了一种具有临时免疫的随机分布时滞SIRS流行病模型。通过构造合适的李雅普诺夫函数，得到了系统正解的存在性和唯一性。还得到了疾病灭绝的充分条件并给出了阈值。
Abstract: In this paper, we study an epidemic model of random distributed delay SIRS with temporary im-munity. By constructing proper lyapunov functions, the existence and uniqueness of positive solu-tions are obtained. Sufficient conditions for the extinction of the disease are also obtained and thresholds are given.
文章引用：张小红, 刘锐杰. 具有临时免疫的分布时滞SIRS流行病模型[J]. 理论数学, 2020, 10(6): 585-592. https://doi.org/10.12677/PM.2020.106071

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