一类双斑块Lotka-Volterra型捕食模型(英文)

作     者：王丽丽 徐瑞 

作者机构：Institute of Applied Mathematics Ordnance Engineering College 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)

年 卷 期：2011年第26卷第4期

页      面：475-487页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：delay dispersal periodic solution global stability 

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.