| 具有收获率的三种群捕食模型的定性分析 |
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| 引用本文： | 张剑,张宏民,堵秀凤.具有收获率的三种群捕食模型的定性分析[J].哈尔滨理工大学学报,2010,15(1):76-79. |
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| 作者姓名： | 张剑 张宏民 堵秀凤 |
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| 作者单位： | 齐齐哈尔大学,理学院,黑龙江,齐齐哈尔,161006 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目 |
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| 摘 要： | 研究了一类具有收获率的三种群捕食模型,讨论了该模型平衡点的存在条件及性态,并利用Routh—Hurwitz准则得到了模型唯一正平衡点是渐近稳定的.
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| 关 键 词： | 收获率 平衡点 渐近稳定 |
The Qualitative Analysis of Three-species Predator-prey Model with Harvesting Rate |
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| ZHANG Jian,ZHANG Hong-min,DU xiu-feng.The Qualitative Analysis of Three-species Predator-prey Model with Harvesting Rate[J].Journal of Harbin University of Science and Technology,2010,15(1):76-79. |
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| Authors: | ZHANG Jian ZHANG Hong-min DU xiu-feng |
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| Affiliation: | (Department of Mathematics, Qiqihar University, Qiqihar 161006, China) |
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| Abstract: | In this paper, a three-species predator-prey model with harvesting rate is studied, the existence and properties of equilibrium in the model are discussed, and by using Routh--Hurwitz criteria to obtain the asymptotic stability of positive equilibrium. |
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| Keywords: | harvesting rate equilibrium asymptotic stability |
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