Positive Periodic Solutions in a Discrete Time Three Species Competition System
A periodic discrete time three species competition system is investigated. With the aid of differential equations with piecewise constant arguments, a discrete analogue of continuous nonautonomous three species competition system is proposed. By using Gaines and Mawhin's continuation theorem of...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/963046 |
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| _version_ | 1832556328197816320 |
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| author | Changjin Xu Yusen Wu |
| author_facet | Changjin Xu Yusen Wu |
| author_sort | Changjin Xu |
| collection | DOAJ |
| description | A periodic discrete time three species competition system is investigated. With the aid of differential equations with piecewise constant arguments, a discrete analogue of continuous nonautonomous three species competition system is proposed. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive periodic solutions of the model are obtained. |
| format | Article |
| id | doaj-art-40be36c8a9e04d8889715bb913f9f5b2 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-40be36c8a9e04d8889715bb913f9f5b22025-02-03T05:45:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/963046963046Positive Periodic Solutions in a Discrete Time Three Species Competition SystemChangjin Xu0Yusen Wu1Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, ChinaDepartment of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, ChinaA periodic discrete time three species competition system is investigated. With the aid of differential equations with piecewise constant arguments, a discrete analogue of continuous nonautonomous three species competition system is proposed. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive periodic solutions of the model are obtained.http://dx.doi.org/10.1155/2013/963046 |
| spellingShingle | Changjin Xu Yusen Wu Positive Periodic Solutions in a Discrete Time Three Species Competition System Journal of Applied Mathematics |
| title | Positive Periodic Solutions in a Discrete Time Three Species Competition System |
| title_full | Positive Periodic Solutions in a Discrete Time Three Species Competition System |
| title_fullStr | Positive Periodic Solutions in a Discrete Time Three Species Competition System |
| title_full_unstemmed | Positive Periodic Solutions in a Discrete Time Three Species Competition System |
| title_short | Positive Periodic Solutions in a Discrete Time Three Species Competition System |
| title_sort | positive periodic solutions in a discrete time three species competition system |
| url | http://dx.doi.org/10.1155/2013/963046 |
| work_keys_str_mv | AT changjinxu positiveperiodicsolutionsinadiscretetimethreespeciescompetitionsystem AT yusenwu positiveperiodicsolutionsinadiscretetimethreespeciescompetitionsystem |