ALMOST PERIODIC SOLUTION OF A NONAUTONOMOUS MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH NONMONOTONIC FUNCTIONAL RESPONSE AND A PREY REFUGE  

作　　者：Jinhuang Chen 

机构地区：[1]College of Math.and Computer Science, Fuzhou University

出　　处：《Annals of Applied Mathematics》2018年第1期32-46,共15页应用数学年刊（英文版）

基　　金：supported by the Natural Science Foundation of Fujian Province(2015J01012)

摘　　要：A nonautonomous modified Leslie-Gower predator-prey model with non- monotonic functional response and a prey refuge is proposed and studied in this paper. Sufficient conditions which guarantee the permanence, extinction of the prey species and the global stability of the system are obtained, respectively. Also, by constructing a suitable Lyapunov function, some sufficient conditions are obtained for the existence of a unique globally attractive positive almost periodic solution of this model. Our results indicate that the prey refuge has positive effect on the coexistence of the species. Examples together with their numeric simulation show the feasibility of our main results.A nonautonomous modified Leslie-Gower predator-prey model with non- monotonic functional response and a prey refuge is proposed and studied in this paper. Sufficient conditions which guarantee the permanence, extinction of the prey species and the global stability of the system are obtained, respectively. Also, by constructing a suitable Lyapunov function, some sufficient conditions are obtained for the existence of a unique globally attractive positive almost periodic solution of this model. Our results indicate that the prey refuge has positive effect on the coexistence of the species. Examples together with their numeric simulation show the feasibility of our main results.

关 键 词：predator PREY PERMANENCE global stability 

分 类 号：O1[理学—数学]