两种群相互竞争的SIRS传染病模型的稳定性  

Stability 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,陕西西安710049

出　　处：《生物数学学报》2003年第1期21-26,共6页Journal of Biomathematics

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,得到了一些平衡点稳定与否的阈值条件.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,疾病就可能流行起来.An autonomous SIRS epidemic model of two competitive species is formulated and analyzed. Some thresholds are identified and stability results of equilibria are proved. 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 cross-infection is introduced.

关 键 词：传染病模型 交叉传染 局部渐近稳定性 全局渐近稳定性 

分 类 号：O175.13[理学—数学]