| 具有线性收获率的Diekman模型稳定性 |
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| 引用本文： | 朱天晓.具有线性收获率的Diekman模型稳定性[J].长春大学学报,2007,17(12M):1-4. |
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| 作者姓名： | 朱天晓 |
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| 作者单位： | 长春大学理学院,吉林长春130022 |
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| 摘 要： | 研究了线性收获率Diekman的捕食者-食饵-领地模型。利用微分方程理论给出了平衡点的稳定性条件，并构造了Dulac函数；利用Bendixson—Dulac判定定理证明了系统不存在极限环。
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| 关 键 词： | 捕食者 食饵 捕获 稳定性 |
| 文章编号： | 1009-3907（2007）06-0001-04 |
| 收稿时间： | 2007-10-18 |
The stability of Diekman population mode with linear harvesting problem |
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| ZHU Tian-xiao.The stability of Diekman population mode with linear harvesting problem[J].Journal of Changchun University,2007,17(12M):1-4. |
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| Authors: | ZHU Tian-xiao |
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| Abstract: | This paper have studied Diekman predator-prey-demesne model, obtained stability conditions of equilibrium paint by using theory of differential equation, constructed the function of Dulac, and proved that system does not have limit cycle by using judging theorem of Bendixson-Dulac. |
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| Keywords: | predator prey harvesting stability |
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