| 一类具有功能反应的非线性捕食系统的定性分析 |
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| 引用本文： | 李晓艳,霍锦霞,李曼生,田丽娜.一类具有功能反应的非线性捕食系统的定性分析[J].佳木斯大学学报,2014(2):295-296,298. |
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| 作者姓名： | 李晓艳 霍锦霞 李曼生 田丽娜 |
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| 作者单位： | 兰州城市学院数学学院 |
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| 基金项目： | 国家自然科学基金(11261027) |
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| 摘 要： | 研究一类同时具有功能反应和密度制约的非线性捕食与被捕食两种群模型,利用微分方程定性理论对系统的正平衡点进行性态分析并得到极限环存在的条件.
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| 关 键 词： | 非线性 平衡点 全局稳定 极限环 |
A Qualitative Analysis of Non-linear Predator-prey Model with Functional Response |
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| LI Xiao-yan;HUO jin-xia;LI Man-sheng;TIAN Li-na.A Qualitative Analysis of Non-linear Predator-prey Model with Functional Response[J].Journal of Jiamusi University(Natural Science Edition),2014(2):295-296,298. |
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| Authors: | LI Xiao-yan;HUO jin-xia;LI Man-sheng;TIAN Li-na |
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| Institution: | LI Xiao-yan;HUO jin-xia;LI Man-sheng;TIAN Li-na;College of Math. ,Lanzhou City University; |
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| Abstract: | In this paper , a non-linear predator -prey model with functional response and density de-pendent was investigated .By using the qualitative theory of differential equation , the property analysis of the positive equilibrium and the sufficient condition which guaranrees the existence of the limit circle were obtained . |
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| Keywords: | non-linear equilibrium predator-prey global stability limit circle |
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