| PERIODIC SOLUTIONS AND GLOBAL ASYMPTOTIC STABILITY OF A DELAYED DISCRETE PREDATOR-PREY SYSTEM WITH HOLLING II TYPE FUNCTIONAL RESPONSE |
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| 引用本文： | Cuimei ZHANG Wencheng CHEN Yu YANG. PERIODIC SOLUTIONS AND GLOBAL ASYMPTOTIC STABILITY OF A DELAYED DISCRETE PREDATOR-PREY SYSTEM WITH HOLLING II TYPE FUNCTIONAL RESPONSE[J]. 系统科学与复杂性, 2006, 19(4): 449-460. DOI: 10.1007/s11424-006-0449-x |
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| 作者姓名： | Cuimei ZHANG Wencheng CHEN Yu YANG |
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| 作者单位： | [1]College of Information Science and Engineering, Shandong University of Science and Technology, Taian 271019; Department of Mathematics and Physics, Anhui University of Science and Tehnology, Huainan 232001, China. [2]College of Information Science and Engineering, Shandong Agricultural University, Taian 271018, China. [3]College of Information Science and Engineering, Shandong University of Science and Technology, Taian 271019, China. |
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| 基金项目： | This work is supported by Scientific Research Fund of Shandong Agricultural University, |
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| 摘 要： | In this paper, we study the existence and global asymptotic stability of positive periodic solutions of a delayed periodic predator-prey system with Hoffing Ⅱ type functional response. By use of the continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions are obtained.
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| 关 键 词： | 周期解 整体渐近稳定性 功能响应 一致性理论 Lyapunov函数 |
| 收稿时间： | 2005-08-19 |
| 修稿时间： | 2005-08-192006-01-23 |
Periodic Solutions and Global Asymptotic Stability of a Delayed Discrete Predator-Prey System with Holling II Type Functional Response |
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| Cuimei Zhang,Wencheng Chen,Yu Yang. Periodic Solutions and Global Asymptotic Stability of a Delayed Discrete Predator-Prey System with Holling II Type Functional Response[J]. Journal of Systems Science and Complexity, 2006, 19(4): 449-460. DOI: 10.1007/s11424-006-0449-x |
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| Authors: | Cuimei Zhang Wencheng Chen Yu Yang |
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| Affiliation: | (1) College of Information Science and Engineering, Shandong University of Science and Technology, Taian, 271019, China;(2) Department of Mathematics and Physics, Anhui University of Science and Technology, Huainan, 232001, China |
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| Abstract: | In this paper, we study the existence and global asymptotic stability of positive periodic solutions of a delayed periodic predator-prey system with Holling II type functional response. By use of the continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions are obtained. This work is supported by Scientific Research Fund of Shandong Agricultural University. |
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| Keywords: | Coincidence degree discrete predator-prey system global asymptotic stability positive periodic solutions. |
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