| 一类基于比率且具双线性密度制约的捕食-食饵系统的全局稳定性分析 |
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| 引用本文： | 鲁铁军,王美娟,刘妍.一类基于比率且具双线性密度制约的捕食-食饵系统的全局稳定性分析[J].生物数学学报,2008,23(4):617-622. |
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| 作者姓名： | 鲁铁军 王美娟 刘妍 |
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| 作者单位： | 上海理工大学,理学院,上海,200093 |
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| 摘 要： | 研究一类基于比率和具双线性密度制约的捕食-食饵系统．由Bendixson环域定理及比较定理给出了奇点（0,0）和（1,0）全局渐近稳定的条件．通过对等倾线的研究给出了正平衡点存在的条件，并构造了Dulac函数讨论其全局渐近稳定性．
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| 关 键 词： | 比率 Dulac函数 全局渐近稳定 功能性反应 Bendixson环域定理 |
Global Stability Analysis of a Ratio-dependent Predator-prey System with Double Density Dependent |
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| LU Tie-jun,WANG Mei-juan,LIU Yan.Global Stability Analysis of a Ratio-dependent Predator-prey System with Double Density Dependent[J].Journal of Biomathematics,2008,23(4):617-622. |
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| Authors: | LU Tie-jun WANG Mei-juan LIU Yan |
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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 double density dependent is considered. The sufficient condition of the global asymptotic stability for the singular point and are given using Bendixson theorem and comparison theorem.The sufficient condition of the existence of the positive singular point is given by studied the isoclines,and global asymptotic behavior of the positive singular point is discussed by constructed Dulac function. |
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| Keywords: | Ratio-dependent Dulac function Global asymptotic stability Functional response Bendixson theorem |
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