| 具有密度制约的两种群食物链模型的稳定性 |
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| 引用本文： | 闫莎.具有密度制约的两种群食物链模型的稳定性[J].河南科学,2012,30(6):677-679. |
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| 作者姓名： | 闫莎 |
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| 作者单位： | 安康学院 数学系,陕西 安康,725000 |
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| 摘 要： | 讨论了一个具有密度制约的两种群食物链模型解的整体存在性和一致有界性,并应用线性化方法和Lyapunov函数方法分析了该模型非负平衡点的局部渐近稳定性和全局渐近稳定性.
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| 关 键 词： | 食物链 密度制约 局部稳定性 全局稳定性 |
Stability in a Two Species Food-chain Model with Density Restriction |
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| Yan Sha.Stability in a Two Species Food-chain Model with Density Restriction[J].Henan Science,2012,30(6):677-679. |
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| Authors: | Yan Sha |
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| Institution: | Yan Sha (Department of Mathematics, Ankang University, Ankang 725000, Shaanxi China) |
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| Abstract: | The global behavior of solutions for a two-species food-chain model was considered. Firstly, the global existence and uniform boundedness of solutions for this model are discussed. Then, the local asymptotic stability and the global asymptotic stability of the positive equilibrium point were given by linearization and Lyapunov function respectively. |
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| Keywords: | food-chain density restriction local stability global stability |
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