A Lotka-Volterra Type Predator-prey Model in a Two-patchy Environment  

一类双斑块Lotka-Volterra型捕食模型(英文)

作　　者：王丽丽 徐瑞 

机构地区：[1]Institute of Applied Mathematics, Ordnance Engineering College

出　　处：《Chinese Quarterly Journal of Mathematics》2011年第4期475-487,共13页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(10471066);Supported by the Ordnance Engineering College Foundation(YJJXM05013)

摘　　要：In this paper, a Lotka-Volterra type predator-prey model with time delays due to gestation of the predator and dispersal for both the prey and the predator is investigated. We first establish two different results on the permanence of the system. Using coincidence degree theory, sufficient conditions are derived for the existence of positive periodic solutions, and by constructing an appropriate Lyapunov functional, we further discuss their uniqueness and global stability. Numerical simulations are carried out to illustrate the main results.

关 键 词：DELAY dispersal periodic solution global stability 

分 类 号：O175.13[理学—数学]