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一个基于比率确定的捕食系统的定性分析 被引量:2

Qualitative Analysis of a Ratio-Dependent Predator-Prey System
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摘要 研究一个具有HollingⅡ功能反应比率确定的捕食系统模型的平衡点与极限环,得到了该系统正平衡点的全局稳定性以及系统极限环的存在唯一性的充分条件. A ratio-dependent predator-prey system with a Holling 1] functional response is studied. The sufficient conditions are obtained for the global asymptotic stability of the positive equilibrium point, and existence and uniqueness of limit cycle of the system.
出处 《上海大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第6期606-610,共5页 Journal of Shanghai University:Natural Science Edition
关键词 捕食系统 全局渐进稳定 平衡点 极限环 唯一性 predator-prey system global asymptotic stability equilibrium point limit cycle uniqueness
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