在随机环境中的非自治SI传染病模型的动力学分析  

Dynamic Analysis of a Non-autonomous SI Epidemiology Model in a Random Environment

作　　者：文乾英[1] 焦建军[1] WEN Qian-ying;JIAO Jian-jun(School of Mathematics and Statistics,Guizhou University of Finance&Economics,Guiyang 550004,China)

机构地区：[1]贵州财经大学数学与统计学院,贵州贵阳550004

出　　处：《数学的实践与认识》2020年第11期255-259,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11361014,10961008)。

摘　　要：主要研究了带随机扰动的非自治SI传染病模型,获得了患病人群灭绝,平均意义下非持续以及平均意义下弱持续的充分性条件。In this paper,we mainly study a non-autonomous SI epidemiology model with random perturbation.Sufficient Criteria for infective individuals extinction,non-persistence in the mean and weak persistence in the mean are established.

关 键 词：随机环境 非自治 SI模型 持续 灭绝 

分 类 号：R181[医药卫生—流行病学] O211.63[医药卫生—公共卫生与预防医学]