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

We study a two-patch impulsive migration periodic N-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 ar...

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Bibliographic Details
Published in:Discrete Dynamics in Nature and Society 2015-01, Vol.2015 (2015), p.856-869-084
Main Authors: Liu, Zijian, Yang, Chenxue
Format: Article
Language:English
Subjects:
Competition
Dynamical systems
Dynamics
Extinction
Inequalities
Inequalities (Mathematics)
Integral equations
Lotka-Volterra equations
Lyapunov functions
Mathematical models
Mathematical research
Migration
Periodic functions
Predator-prey simulation
Science
Topological spaces
Trends
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Summary:We study a two-patch impulsive migration periodic N-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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2015/293050