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Qualitative Analysis of Holling Type's Predator-Prey Dynamic System with Double Density Restrict

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Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
3
DOI:
10.3969/j.issn.1001-9626.2006.03.003
Key Word:
非线性密度制约;Holling Ⅱ功能反应;全局稳定性;存在唯一性

Abstract: 研究食饵具有非线性密度制约捕食者具有线性密度制约的Holling Ⅱ型捕食动力系统.以食饵的环境容纳量为分支参数,由Hopf分支得到小振幅极限环的存在性,同时也得到了正平衡点的全局稳定性和非小振幅极限环的存在唯一性的充分条件.

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