| 一类基于比率的Holling-(n+1)型捕食系统的定性分析 |
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| 引用本文： | 申素慧,原三领,罗建梅,赵瑜.一类基于比率的Holling-(n+1)型捕食系统的定性分析[J].上海理工大学学报,2009,31(1). |
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| 作者姓名： | 申素慧 原三领 罗建梅 赵瑜 |
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| 作者单位： | 上海理工大学理学院,上海,200093 |
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| 基金项目： | 国家自然科学基金，上海市教育委员会资助项目 |
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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.
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| 关 键 词： | 比率 功能性反应 全局渐近稳定 Liapunov函数 |
Qualitative analysis of a ratio-dependent predator-prey system with Holling-(n+1) functional response |
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| SHEN Su-hui,YUAN San-ling,LUO Jian-mei,ZHAO Yu.Qualitative analysis of a ratio-dependent predator-prey system with Holling-(n+1) functional response[J].Journal of University of Shanghai For Science and Technology,2009,31(1). |
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| Authors: | SHEN Su-hui YUAN San-ling LUO Jian-mei ZHAO Yu |
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| Institution: | College of Science;University of Shanghai for Science and Technology;Shanghai 200093;China |
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| Abstract: | 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. |
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| Keywords: | ratio-dependent functional response global asymptotic stability Liapunov function |
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