捕食者染病的生态流行病系统的稳定性  

The Stability of Eco-epidemiological Model with Infected Predator

作　　者：钟小容[1] 王凤筵[1] 张树文[1] 沈柠 

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2014年第6期459-462,共4页Journal of Jimei University：Natural Science

基　　金：国家自然科学基金资助项目(31272653;11301216)

摘　　要：讨论了一类在捕食者种群中带有传染病结构的捕食-食饵模型,确定了各平衡点存在的阈值条件.此外,利用特征根法、Hurwitz判别法和Lyapunov-Lassel不变集等方法,得到了各个平衡点稳定性的结论.An epidemic model of a predator-prey system with epidemic in predator was discussed in this paper, the conditions and threshold to the existence of various equilibriums were established. By means of the characteristic root method, Hurwitz criterion and Lyapunov-Lassel invariant set theorem, the stable results of various equilibriums were obtained.

关 键 词：捕食-食饵模型 平衡点 稳定性 

分 类 号：O175.1[理学—数学]