摘要
把白噪声和信息干预同时考虑到SIRS传染病模型中,从而得到了一个新的随机SIRS模型.通过构造适当的C2函数,得到模型正解存在性和唯一性的充分条件,并对该系统模型的灭绝性进行了分析.研究结果表明,信息干预和随机噪声可以降低人群感染的峰值.最后通过数值模拟验证了分析结果.
The new stochastic SIRS epidemic model,taking into account white noise and information intervention,is obtained.Using to construct appropriateC2 functions,sufficient conditions of existence and uniqueness positive solution are obtained.The extinction is studied for a stochastic SIRS epidemic model with information intervention.A study of the stochastic SIRS epidemic model reveals that the peak of population infected can be decreased by information intervention and random noise.Finally,we demonstrate the analytical results by numerical simulations.
作者
张启敏
曹博强
牟晓洁
Zhang Qimin;Cao Boqiang;Mu Xiaojie(School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,CHina;School of Mathematics and Information Science,Beifang University of Nationalities,Yinchuan,750021,China)
出处
《河南师范大学学报（自然科学版）》
CAS
北大核心
2018年第4期1-7,共7页
Journal of Henan Normal University(Natural Science Edition)
基金
国家自然科学基金(11461053)
宁夏大学研究生创新项目(GIP2017040)
关键词
SIRS传染病模型
信息干预
环境噪声
灭绝性
SIRS epidemic model
information intervention
environment fluctuation
extinction
