一类具有垂直传播的SI捕食传染病模型的全局分析  

Global Analysis of an SI Predator-prey Epidemic Model with Vertical Transmission

作　　者：刘烁[1] 李文潮[1] 赵清波[1] 吴克坚[1] 徐清华[1] 万颖[1] 

机构地区：[1]第四军医大学生物医学工程系,西安710032

出　　处：《数理医药学杂志》2010年第6期631-633,共3页Journal of Mathematical Medicine

摘　　要：通过假设捕食系统中疾病只在捕食者种群中传播,染病者会因病死亡且具有垂直传播能力,染病者恢复后对该病具有终身免疫力,建立了一类具有垂直传播的SI捕食传染病模型,通过构造Liapunov函数,得到了平衡点全局渐近稳定的充要条件。By assuming that disease only exists in the predator species,the infectives have the ability of vertical transmission,the infectives can be cured and the recovered have permanent immunity,and the disease affects predationrate,an SI predator-prey epidemic model with vertical transmission is investigated.By constructing the liapunov functions,the sufficient and necessary conditions of the global stabilities of the corresponding equilibriumof the model are obtained.

关 键 词：垂直传播 捕食系统 传染病模型 平衡点 稳定性 

分 类 号：O175.1[理学—数学] R311[理学—基础数学]