Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System
A discrete two-species competitive model is investigated. By using some preliminary lemmas and constructing a Lyapunov function, the existence and uniformly asymptotic stability of positive almost periodic solutions of the system are derived. In addition, an example and numerical simulations are pre...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/658758 |
| id |
doaj-5521d40a416f4813b41dc2fbc83c790a |
|---|---|
| record_format |
Article |
| spelling |
doaj-5521d40a416f4813b41dc2fbc83c790a2020-11-24T23:24:05ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/658758658758Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive SystemHeping Ma0Jianguo Gao1Lingling Xie2School of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan 750021, ChinaSchool of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan 750021, ChinaSchool of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan 750021, ChinaA discrete two-species competitive model is investigated. By using some preliminary lemmas and constructing a Lyapunov function, the existence and uniformly asymptotic stability of positive almost periodic solutions of the system are derived. In addition, an example and numerical simulations are presented to illustrate and substantiate the results of this paper.http://dx.doi.org/10.1155/2015/658758 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Heping Ma Jianguo Gao Lingling Xie |
| spellingShingle |
Heping Ma Jianguo Gao Lingling Xie Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System Discrete Dynamics in Nature and Society |
| author_facet |
Heping Ma Jianguo Gao Lingling Xie |
| author_sort |
Heping Ma |
| title |
Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System |
| title_short |
Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System |
| title_full |
Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System |
| title_fullStr |
Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System |
| title_full_unstemmed |
Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System |
| title_sort |
global stability of positive periodic solutions and almost periodic solutions for a discrete competitive system |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2015-01-01 |
| description |
A discrete two-species
competitive model is investigated. By using some preliminary
lemmas and constructing a Lyapunov function, the existence and uniformly
asymptotic stability of positive almost periodic solutions of the system are
derived. In addition, an example and numerical simulations are
presented to illustrate and substantiate the results of this paper. |
| url |
http://dx.doi.org/10.1155/2015/658758 |
| work_keys_str_mv |
AT hepingma globalstabilityofpositiveperiodicsolutionsandalmostperiodicsolutionsforadiscretecompetitivesystem AT jianguogao globalstabilityofpositiveperiodicsolutionsandalmostperiodicsolutionsforadiscretecompetitivesystem AT linglingxie globalstabilityofpositiveperiodicsolutionsandalmostperiodicsolutionsforadiscretecompetitivesystem |
| _version_ |
1725561994726080512 |