[Luo, Liping; Gao, Zhenghui; Zeng, Yunhui; Yang, Liu; Luo, Zhenguo] Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.

[Luo, Zhenguo] Natl Univ Def Technol, China Dept Math, Changsha 410073, Hunan, Peoples R China.

[Luo, Zhenguo] H

Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.

An impulsive Lotka-Volterra type predator-prey model with prey dispersal in two-patch environments and time delays is investigated;where we assume the model of patches with a barrier only as far as the prey population is concerned;whereas the predator population has no barriers between patches. By applying the continuation theorem of coincidence degree theory and by means of a suitable Lyapunov functional;a set of easily verifiable sufficient conditions are obtained to guarantee the existence;uniqueness;and global stability of positive periodic solutions of the system. Some known results subject to the underlying systems without impulses are improved and generalized. As an application;we also give two examples to illustrate the feasibility of our main results. Published: 2014 First available in Project Euclid: 2 March 2015 zbMATH: 07010692 MathSciNet: MR3191132 Digital Object Identifier: 10.1155/2014/592543

数学与统计学院