一类具有Ⅳ类功能反应的捕食者-食饵系统的极限环和全局稳定性

辽宁石油化工大学学报 ›› 2008, Vol. 28 ›› Issue (1): 86-88.

一类具有Ⅳ类功能反应的捕食者-食饵系统的极限环和全局稳定性

张娇，姜凤利

辽宁石油化工大学理学院，辽宁抚顺 113001

收稿日期:2007-11-27 出版日期:2008-03-20 发布日期:2017-07-22

The Limit Cycle and Global Stability on Predator- Prey System With Ⅳ Functional Response

ZHANG Jiao, JIANG Feng-li

School of Science, Liaoning University of Petroleum & Chemical Technology,  Fushun Liaoning 113001， P.R .China

Received:2007-11-27 Published:2008-03-20 Online:2017-07-22

摘要/Abstract

摘要： 研究了一类具有Ⅳ类功能反应的捕食者-食饵系统，用微分方程定性理论和Poincaré-Bendixson定理对该系统的平衡点进行了分析，对该系统存在一个极限环给予了理论证明，同时给出了生态意义。

关键词: 捕食者-食饵系统, 平衡点, 极限环

Abstract: A type Ⅳ functional response predator-prey system was studied.The existence of global limit cycle was investigated by using qualitative analysis and the ideas of Poincaré-Bendixson theory, and some biological illustrations were given.

Key words: Predator-prey system, Equilibrium point, Limit cycle

张娇，姜凤利. 一类具有Ⅳ类功能反应的捕食者-食饵系统的极限环和全局稳定性[J]. 辽宁石油化工大学学报, 2008, 28(1): 86-88.

ZHANG Jiao, JIANG Feng-li. The Limit Cycle and Global Stability on Predator- Prey System With Ⅳ Functional Response[J]. Journal of Liaoning Petrochemical University, 2008, 28(1): 86-88.

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