| 一类离散时滞具一般功能性反应的捕食——食饵系统的周期解 |
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| 引用本文： | 杨柳. 一类离散时滞具一般功能性反应的捕食——食饵系统的周期解[J]. 系统科学与数学, 2007, 27(4): 488-498 |
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| 作者姓名： | 杨柳 |
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| 作者单位： | 黔西南民族师范高等专科学校数学系,兴义,562400 |
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| 摘 要： | 研究了一类离散时滞具一般功能性反应的捕食-食饵系统,运用重合度理论中的延拓定理得到了系统至少存在一个正的周期解的充分条件.特别地,周期解的上界和下界也是确立的.
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| 关 键 词： | 周期解 一般功能性反应 重合度 |
| 收稿时间： | 2006-06-14 |
| 修稿时间： | 2006-06-14 |
Periodic Solutions of a Delayed Discrete Predator-Prey System withGeneral Functional Response |
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| Yang Liu. Periodic Solutions of a Delayed Discrete Predator-Prey System withGeneral Functional Response[J]. Journal of Systems Science and Mathematical Sciences, 2007, 27(4): 488-498 |
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| Authors: | Yang Liu |
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| Affiliation: | Department of Mathematics, Southwest Guizhou Teachers' College for Nationalities, Guizhou Xingyi 562400 |
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| Abstract: | A delayed discrete predator-prey system with general functional response is investigated. By using the continuation theorem of coincidence degree theory, sufficient conditions are obtained for the existence of at least one positive periodic solution of this system. Particularly, the upper and lower bounds ofthe periodic solutions are also established. |
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| Keywords: | Periodic solution general functional response coincidence degree. |
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