| 具有避难所和捕获的非线性模型稳定性分析 |
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| 引用本文： | 龚晓杰,陈凤德,杨坤,赵亮.具有避难所和捕获的非线性模型稳定性分析[J].龙岩学院学报,2014(2):10-14. |
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| 作者姓名： | 龚晓杰 陈凤德 杨坤 赵亮 |
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| 作者单位： | 福州大学,福建福州350116 |
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| 基金项目： | 福建省自然科学基金（2011J01007）. |
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| 摘 要： | 提出一类具有避难所和捕获的非线性竞争模型,探讨了模型的局部渐近稳定性和全局稳定性。讨论了避难所对于种群稳定性的影响,以及非线性项系数对两种群平衡密度的作用。
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| 关 键 词： | 竞争 避难所 捕获 局部渐进稳定 全局稳定 |
Stability of a Nonlinear Competition Model Incorporating a Constant Proportion of Refuge for One Species and Harvesting |
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| GONG Xiaojie,CHEN Fengde,YANG Kun,ZHAO Liang.Stability of a Nonlinear Competition Model Incorporating a Constant Proportion of Refuge for One Species and Harvesting[J].Journal of Longyan Univercity,2014(2):10-14. |
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| Authors: | GONG Xiaojie CHEN Fengde YANG Kun ZHAO Liang |
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| Institution: | GONG Xiaojie, CHEN Fengde, YANG Kun, ZHAO Liang |
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| Abstract: | A nonlinear competition harvest model incorporating a constant proportion of refuge for one species is proposed and studied in this paper. Sufficient conditions which ensure the local asymptotical stability and global stability of the model are obtained. Then the influence of refuge for population stability and the impact of nonlinear coefficient on the final density are discussed. |
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| Keywords: | competition refuge capture local asymptotical stability global stability |
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