%0 Journal Article
%T 具有临时免疫的分布时滞SIRS流行病模型<br>SIRS Epidemic Model with Temporary Immunity and Distributed Delay
%A 张小红
%A 刘锐杰
%J Pure Mathematics
%P 585-592
%@ 2160-7605
%D 2020
%I Hans Publishing
%R 10.12677/PM.2020.106071
%X <p align=\"justify\">
	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。<br />
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.
</p>
%K 随机SIRS流行病模型，灭绝，分布时滞，临时免疫<br>Stochastic SIRS Epidemic Model
%K Extinction
%K Distributed Delay
%K Temporary Immunity
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=36178