| Periodic Solutions of a Discrete Time Predator-Prey System |
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| 引用本文： | Yong-li Song Mao-an Han. Periodic Solutions of a Discrete Time Predator-Prey System[J]. 应用数学学报(英文版), 2006, 22(3): 397-404. DOI: 10.1007/s10255-006-0314-7 |
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| 作者姓名： | Yong-li Song Mao-an Han |
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| 作者单位： | [1]Department of Applied Mathematics, Tongji University, Shanghai 200092, China [2]Department of Mathematics, Shanghai Normal University, Shanghai 200234, China |
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| 基金项目： | Supported by Program for New Century Excellent Talents in University （NCET-04-0388） and Shanghai Leading Academic Discipline Project （T0401）. |
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| 摘 要： | ![]()
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| 关 键 词： | 离散时间 周期解 一致度 数学分析 |
| 收稿时间： | 2003-10-19 |
| 修稿时间： | 2003-10-19 |
Periodic Solutions of a Discrete Time Predator-Prey System |
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| Yong-li Song,Mao-an Han. Periodic Solutions of a Discrete Time Predator-Prey System[J]. Acta Mathematicae Applicatae Sinica, 2006, 22(3): 397-404. DOI: 10.1007/s10255-006-0314-7 |
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| Authors: | Yong-li Song Mao-an Han |
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| Affiliation: | (1) Department of Applied Mathematics, Tongji University, Shanghai, 200092, China;(2) Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China |
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| Abstract: | ![]()
In this paper, we discuss a discrete predator-prey system with a non-monotonic functional response, which models the dynamics of the prey and the predator having non-overlapping generations. By using the coincidence degree theory, sufficient conditions are obtained for the existence of positive periodic solutions. |
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| Keywords: | Predator-prey system discrete time periodic solution coincidence degree |
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