PERIODIC SOLUTIONS AND GLOBAL ASYMPTOTIC STABILITY OF A DELAYED DISCRETE PREDATOR-PREY SYSTEM WITH HOLLING Ⅱ TYPE FUNCTIONAL RESPONSE

Cuimei ZHANG; Wencheng CHEN; Yu YANG

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PERIODIC SOLUTIONS AND GLOBAL ASYMPTOTIC STABILITY OF A DELAYED DISCRETE PREDATOR-PREY SYSTEM WITH HOLLING Ⅱ TYPE FUNCTIONAL RESPONSE

机译：具HollingⅡ类功能反应的时滞离散捕食系统的周期解和全局渐近稳定性。

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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 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.

机译：本文研究具有HollingⅡ型功能性反应的时滞捕食者-食饵系统正周期解的存在性和全局渐近稳定性。利用重合度理论的连续定理和李雅普诺夫函数的方法，得到了一些充分的条件。

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来源
《Journal of Systems Science and Complexity》 |2006年第4期|p.449-460|共12页
作者
Cuimei ZHANG; Wencheng CHEN; Yu YANG;
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作者单位

College of Information Science and Engineering, Shandong University of Science and Technology, Taian 271019, China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
coincidence degree; discrete predator-prey system; global asymptotic stability; positive periodic solutions;

机译：一致度;离散捕食系统;全局渐近稳定性;正周期解;

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专利

1. PERIODIC SOLUTIONS AND GLOBAL ASYMPTOTIC STABILITY OF A DELAYED DISCRETE PREDATOR-PREY SYSTEM WITH HOLLING Ⅱ TYPE FUNCTIONAL RESPONSE [J] . Cuimei ZHANG, Wencheng CHEN, Yu YANG 系统科学与复杂性：英文版 . 2006,第004期

机译：具HollingⅡ类功能反应的时滞离散捕食-收获系统的周期解和全局渐近稳定性。
2. PERIODIC SOLUTIONS AND STABILITY FOR A DELAYED DISCRETE RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH HOLLING-TYPE FUNCTIONAL RESPONSE [J] . LIN-LIN WANG, WAN-TONG LI Discrete dynamics in nature and society . 2004,第2期

机译：具有Holling型功能响应的时滞离散捕食-收获系统的周期解和稳定性。
3. PERIODIC SOLUTIONS AND STABILITY FOR A DELAYED DISCRETE RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH HOLLING-TYPE FUNCTIONAL RESPONSE [J] . LIN-LIN WANG, WAN-TONG LI Discrete dynamics in nature and society . 2004,第2期

机译：具有Holling型功能响应的时滞离散捕食-收获系统的周期解和稳定性。
4. Global Stability and Periodicity of Predator-Prey System with Holling IV Type Functional Response [C] . Zhao Hong-Wei Fourth international conference on information and computing . 2011

机译：具Holling IV型功能反应的捕食者-食饵系统的全局稳定性和周期性。
5. Multiple periodic solutions for nonautonomous asymptotically linear Hamiltonian systems. [D] . Wang, Chengwen. 2000

机译：非自治渐近线性哈密顿系统的多个周期解。
6. An LMI Based Criterion for Global Asymptotic Stability of Discrete-Time State-Delayed Systems with Saturation Nonlinearities [O] . Priyanka Kokil 2014

机译：具有饱和非线性的离散状态时滞系统的全局渐近稳定性的基于LMI的准则
7. Periodic solutions and stability for a delayed discrete ratio-dependent predator-prey system with Holling-type functional response [O] . Lin-Lin Wang, Wan-Tong Li 2004

机译：具有Holling型功能反应的延迟离散比依赖捕食者 - 食饵系统的周期解和稳定性

PERIODIC SOLUTIONS AND GLOBAL ASYMPTOTIC STABILITY OF A DELAYED DISCRETE PREDATOR-PREY SYSTEM WITH HOLLING Ⅱ TYPE FUNCTIONAL RESPONSE

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