Analysis of a Nonautonomous Eco-Epidemiological Model with Saturated Predation Rate  

作　　者：Youquan Luo Shujing Gao Yujiang Liu 

机构地区：[1]Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China

出　　处：《Applied Mathematics》2017年第2期252-273,共22页应用数学（英文）

摘　　要：In this paper, a nonautonomous eco-epidemiological model with disease in the predator is formulated and analyzed, in which saturated predation rate is taken into consideration. Under quite weak assumptions, sufficient conditions for the permanence and extinction of the disease are obtained. Moreover, by constructing a Liapunov function, the global attractivity of the model is discussed. Finally, numerical simulations verified these results.In this paper, a nonautonomous eco-epidemiological model with disease in the predator is formulated and analyzed, in which saturated predation rate is taken into consideration. Under quite weak assumptions, sufficient conditions for the permanence and extinction of the disease are obtained. Moreover, by constructing a Liapunov function, the global attractivity of the model is discussed. Finally, numerical simulations verified these results.

关 键 词：NONAUTONOMOUS Eco-Epidemiological Model PERMANENCE EXTINCTION Global ATTRACTIVITY 

分 类 号：O1[理学—数学]