| 一类具有非线性扩散和时滞的捕食系统的持续性与周期解 |
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| 引用本文： | 徐国明,贾建文. 一类具有非线性扩散和时滞的捕食系统的持续性与周期解[J]. 系统科学与数学, 2010, 30(4): 515-529 |
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| 作者姓名： | 徐国明 贾建文 |
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| 作者单位： | 1. 包头师范学院数学科学学院,包头,014030;山西师范大学数学与计算机科学学院,临汾,041004
2. 山西师范大学数学与计算机科学学院,临汾,041004 |
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| 基金项目： | 内蒙古自治区高等学校科学研究 |
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| 摘 要： | 研究了一类具有非线性扩散和Beddington-Deangelis功能性反应,且同时具有连续时滞和离散时滞的非自治两食饵一捕食者系统,证明了在适当条件下该系统是一致持久的,并且得到了系统正周期解全局渐近稳定的充分条件.最后,给出一个例子以说明得到的结果.
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| 关 键 词： | 非线性扩散 时滞 一致持久 正周期解. |
| 收稿时间： | 2008-12-18 |
| 修稿时间： | 2009-08-20 |
PERSISTENCE AND PERIODIC SOLUTION OF A PREDATOR-PREY SYSTEM WITH NONLINEAR DIFFUSION AND DELAY |
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| XU Guoming,JIA Jianwen. PERSISTENCE AND PERIODIC SOLUTION OF A PREDATOR-PREY SYSTEM WITH NONLINEAR DIFFUSION AND DELAY[J]. Journal of Systems Science and Mathematical Sciences, 2010, 30(4): 515-529 |
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| Authors: | XU Guoming JIA Jianwen |
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| Affiliation: | (1)Faculty of Mathematics, Baotou Teachers College, Neimenggu, Baotou014030; School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004;(2)School of Mathematics and Computer Science, Shanxi Normal University,041004 |
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| Abstract: | This paper considers a kind of nonautonomous Two-prey One-predator models with nonlinear diffusion, Beddington-Deangelis functional response, discrete delay and continuous time delay. It is proved that the system can be persistent under certain conditions. Furthermore, sufficient conditions which guarantee the global asymptotic stability of positive periodic solution of the system are obtained. Finally, an example is given to demonstrate the results. |
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| Keywords: | Nonlinear diffusion delay uniform persistence positive periodic solution. |
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