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具有种群相互作用转变的两种群模型的稳定性分析

Stability analysis of a two-species model with transitions between population interactions.

作者信息

Zhang Boyu, Zhang Zhibin, Li Zhenqing, Tao Yi

机构信息

Key Laboratory of Animal Ecology and Conservation Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing, PR China.

出版信息

J Theor Biol. 2007 Sep 7;248(1):145-53. doi: 10.1016/j.jtbi.2007.05.004. Epub 2007 May 10.

Abstract

Stability of a simple two-species system is investigated. This model assumes that the kind of inter-specific interactions is not fixed, and that it depends on the system state, i.e., undergoes transitions between different population interactions due to variation in population densities. The main goal is to show the effects of the transitions between different population interactions on the two-species coexistence, and on the stability conditions of multiple equilibria.

摘要

研究了一个简单的两物种系统的稳定性。该模型假设种间相互作用的类型不是固定的,而是取决于系统状态,即由于种群密度的变化,会在不同的种群相互作用之间发生转变。主要目标是展示不同种群相互作用之间的转变对两物种共存以及对多个平衡点稳定性条件的影响。

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