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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/293050 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552020611956736 |
|---|---|
| author | Zijian Liu Chenxue Yang |
| author_facet | Zijian Liu Chenxue Yang |
| author_sort | Zijian Liu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-78ef73884e8c4dba9cdccce416e3bf2a |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-78ef73884e8c4dba9cdccce416e3bf2a2025-02-03T05:59:48ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/293050293050Permanence and Periodic Solutions for a Two-Patch Impulsive Migration Periodic N-Species Lotka-Volterra Competitive SystemZijian Liu0Chenxue Yang1College of Mathematics and Statistics, Chongqing Jiaotong University, Chonging 400074, ChinaSchool of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 610054, ChinaWe 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.http://dx.doi.org/10.1155/2015/293050 |
| spellingShingle | Zijian Liu Chenxue Yang Permanence and Periodic Solutions for a Two-Patch Impulsive Migration Periodic N-Species Lotka-Volterra Competitive System Discrete Dynamics in Nature and Society |
| title | Permanence and Periodic Solutions for a Two-Patch Impulsive Migration Periodic N-Species Lotka-Volterra Competitive System |
| title_full | Permanence and Periodic Solutions for a Two-Patch Impulsive Migration Periodic N-Species Lotka-Volterra Competitive System |
| title_fullStr | Permanence and Periodic Solutions for a Two-Patch Impulsive Migration Periodic N-Species Lotka-Volterra Competitive System |
| title_full_unstemmed | Permanence and Periodic Solutions for a Two-Patch Impulsive Migration Periodic N-Species Lotka-Volterra Competitive System |
| title_short | Permanence and Periodic Solutions for a Two-Patch Impulsive Migration Periodic N-Species Lotka-Volterra Competitive System |
| title_sort | permanence and periodic solutions for a two patch impulsive migration periodic n species lotka volterra competitive system |
| url | http://dx.doi.org/10.1155/2015/293050 |
| work_keys_str_mv | AT zijianliu permanenceandperiodicsolutionsforatwopatchimpulsivemigrationperiodicnspecieslotkavolterracompetitivesystem AT chenxueyang permanenceandperiodicsolutionsforatwopatchimpulsivemigrationperiodicnspecieslotkavolterracompetitivesystem |