两种群相互竞争的SIRS传染病模型的持续生存  

Persistence of an SIRS Epidemic Model of Two Competitive Species

作　　者：韩丽涛[1] 原三领[1] 马知恩[1] 

机构地区：[1]西安交通大学理学院,西安710049

出　　处：《工程数学学报》2004年第2期172-176,共5页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金资助项目(19971066).

摘　　要：研究了一类两种群相互竞争的SIRS传染病模型,揭示了两种群共存时,交叉传染对疾病传播的本质影响,即在无交叉传染疾病绝灭的情况下(一定条件时),若引入交叉传染,在相同的条件下,系统为一致持续生存的,从而疾病就会流行起来。An autonomous SIRS epidemic model of two competitive species is formulated and analyzed. It is discovered that the inter-infection is crucial to the dynamical behavior of the system, namely, when the disease will die out without the inter-infection for both species, the disease may prevail in both species if the inter-infection is introduced; Moreover, the system is uniformly persistent.

关 键 词：传染病模型 交叉传染 一致持续生存 群 

分 类 号：O175.13[理学—数学]