Permanence and Periodic Solutions for a Two-Patch Impulsive Migration PeriodicN-Species Lotka-Volterra Competitive System-Reference-Cited by-同舟云学术

Permanence and Periodic Solutions for a Two-Patch Impulsive Migration PeriodicN-Species Lotka-Volterra Competitive System

Published:2015 Issue: Volume:2015 Page:1-14
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Liu Zijian¹²,Yang Chenxue³

Affiliation:

1. College of Mathematics and Statistics, Chongqing Jiaotong University, Chonging 400074, China

2. Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China

3. School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China

Abstract

We study a two-patch impulsive migration periodicN-species Lotka-Volterra competitive system. Based on analysis method, inequality estimation, and Lyapunov function method, sufficient conditions for the permanence and existence of a unique globally stable positive periodic solution of the system are established. Some numerical examples are shown to verify our results and discuss the model further.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/293050.pdf

Reference14 articles.

1. Global Asymptotic Stability of Lotka–Volterra Diffusion Models with Continuous Time Delay

2. Permanence and global stability for cooperative Lotka-Volterra diffusion systems

3. The effect of dispersal on single-species nonautonomous dispersal models with delays

4. Dispersal permanence of a periodic predator–prey system with Beddington–DeAngelis functional response

5. Boundedness and permanence in a class of periodic time-dependent predator–prey system with prey dispersal and predator density-independence

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