| 一类食饵具有线性投放率的稀疏效应捕食模型的定性分析 |
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| 引用本文： | 任睿超,晋金才.一类食饵具有线性投放率的稀疏效应捕食模型的定性分析[J].高师理科学刊,2011,31(1):16-19,21. |
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| 作者姓名： | 任睿超 晋金才 |
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| 作者单位： | 西北大学,数学系,陕西,西安,710127 |
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| 摘 要： | 讨论了食饵带有线性投放率的稀疏效应捕食系统,利用定性理论分析了奇点的性态,得到了极限环的存在性和唯一性及系统全局渐近稳定的充分条件,反映出在一定条件下食饵捕食种群将趋于稳定.
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| 关 键 词： | 稀疏效应 正平衡点 Bendxison环域 全局渐近稳定 |
Qualitative analysis of a predator-prey model with scanty effect for the linear thrown of prey |
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| REN Rui-chao,JIN Jin-cai.Qualitative analysis of a predator-prey model with scanty effect for the linear thrown of prey[J].Journal of Science of Teachers＇College and University,2011,31(1):16-19,21. |
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| Authors: | REN Rui-chao JIN Jin-cai |
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| Institution: | (Department of Mathematics,Northwest University,Xi’an 710127,China) |
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| Abstract: | Researched on a predator-prey system with scanty effect when prey was linear thrown.The quantity of equilibrium was first analyzed by using qualitative theorem for showing the sufficient condition of the existence and uniqueness for limit cycle and global asymptotic stability for system,finally the phenomenon occurred that prey and predator were tended to be stable under certain condition. |
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| Keywords: | scanty effect positive equilibrium point Bendixson cycle global asymptotic stability |
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