一类带有种群迁移的SIS传染病模型的全局分析  

Global Analysis of an SIS Epidemic Model with Population Dispersal

作　　者：李建全[1] 于斌[1] 杨亚莉[1] 杨友社[1] 

机构地区：[1]空军工程大学应用数学物理系,西安710051

出　　处：《数学的实践与认识》2009年第15期114-121,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10671209);陕西省自然科学基金(SJ08-ZT13)

摘　　要：通过假设同一地区内易感者和染病者具有相同的迁移率系数,建立了一类两地区间种群迁移的SIS传染病模型,得到了地方病平衡点存在的阈值条件,并借助比较定理和极限系统理论证明了无病平衡点和疾病不导致死亡时地方病平衡点的全局稳定性,最后讨论了种群迁移对传染病传播的影响.Under the assumption that both of susceptible and infective individuals in the same region have the same dispersal rate coefficient, an SIS epidemic model with population dispersal between two regions was established, the threshold condition on the existence of endemic equilibrium was found, the global stability of the disease-free equilibrium and the endemic equilibrium for the case that the disease is not fatal was proved. At last, the affection of population dispersal on the spread of infection was discussed.

关 键 词：种群迁移 传染病模型 平衡点 全局稳定性 

分 类 号：R181.3[医药卫生—流行病学]