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一类基于比率的Holling-(n+1)型捕食系统的定性分析 被引量:1

Qualitative analysis of a ratio-dependent predator-prey system with Holling-(n+1) functional response
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摘要 考虑了一类基于比率的Holling-(n+1)型功能性反应函数的捕食者食饵系统,得到了系统耗散和各类平衡点全局渐近稳定的条件. A ratio-dependent predator-prey system with Holling-( n + 1) functional response was considered. By using comparison principle, the sufficient condition for dissipation of the system and the global asymptotic stability of the singular points (0,0), (1,0) were obtained. Global asymptotic stability of the positive point was discussed by constructing Liapunov function.
出处 《上海理工大学学报》 CAS 北大核心 2009年第1期11-13,共3页 Journal of University of Shanghai For Science and Technology
基金 国家自然科学基金资助项目(10871129) 上海市教委科研资助项目(09YZ208)
关键词 比率 功能性反应 全局渐近稳定 LIAPUNOV函数 ratio-dependent functional response gtobal asymptotic stability Liapunov function
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