Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay
A discrete two-prey one-predator model with infinite delay is proposed. A set of sufficient conditions which guarantee the permanence of the system is obtained. By constructing a suitable Lyapunov functional, we also obtain sufficient conditions ensuring the global attractivity of the system. An exa...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/732510 |
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| _version_ | 1849691016107393024 |
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| author | Zhixiang Yu Zhong Li |
| author_facet | Zhixiang Yu Zhong Li |
| author_sort | Zhixiang Yu |
| collection | DOAJ |
| description | A discrete two-prey one-predator model with infinite delay is proposed. A set of sufficient conditions which guarantee the permanence of the system is obtained. By constructing a suitable Lyapunov functional, we also obtain sufficient conditions ensuring the global attractivity of the system. An example together with its numerical simulation shows the feasibility of the main results. |
| format | Article |
| id | doaj-art-e90ed93a09d74987878bc5e59a82c143 |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e90ed93a09d74987878bc5e59a82c1432025-08-20T03:21:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/732510732510Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite DelayZhixiang Yu0Zhong Li1College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, ChinaA discrete two-prey one-predator model with infinite delay is proposed. A set of sufficient conditions which guarantee the permanence of the system is obtained. By constructing a suitable Lyapunov functional, we also obtain sufficient conditions ensuring the global attractivity of the system. An example together with its numerical simulation shows the feasibility of the main results.http://dx.doi.org/10.1155/2009/732510 |
| spellingShingle | Zhixiang Yu Zhong Li Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay Discrete Dynamics in Nature and Society |
| title | Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay |
| title_full | Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay |
| title_fullStr | Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay |
| title_full_unstemmed | Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay |
| title_short | Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay |
| title_sort | permanence and global attractivity of a discrete two prey one predator model with infinite delay |
| url | http://dx.doi.org/10.1155/2009/732510 |
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