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对"功能反应函数为x的食饵——捕食系统的定性分析"一文的注记
引用本文:沈伯骞. 对"功能反应函数为x的食饵——捕食系统的定性分析"一文的注记[J]. 生物数学学报, 2000, 15(3)
作者姓名:沈伯骞
作者单位:辽宁师范大学数学系,辽宁大连 116029
摘    要:重新分析了文[1]所讨论过的功能反应函数为x的捕食系统(1),分析了此系统在第一象限内轨线的拓朴结构,证明了系统(1)的唯一正平衡点如果不稳定,则存在唯一(稳定)极限环;如果稳定,则全局稳定于此正平衡点,纠正了文[1]中关于系统(1)极限环的存在性、稳定性等方面的一些结论.

关 键 词:功能性反应  捕食系统  拓扑结构

A Note for the Article "A Qualitative Analysis of the Predator-Prey System with A Functional Response Function x
SHEN Bo-qian. A Note for the Article "A Qualitative Analysis of the Predator-Prey System with A Functional Response Function x[J]. Journal of Biomathematics, 2000, 15(3)
Authors:SHEN Bo-qian
Abstract:We study the predator-prey system (1) with a functional response function $sqrt{x}$ again, which has already studied by article [1], Analyse the topological structure of the trajectories of the system (1) in first quadrant and prove when the unique positive singular point is unstable, there is a unique limit cycle in the system [1]; When the unique positive singular point is stable, the system (1) globally stabilize into this point. Thus corrects the existence and stablity of the limit cycle etc and some other results from the system (1) in article [1].
Keywords:Functional response  Predator-prey system  Topological structure
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