| 具有密度制约的两种群食物链模型解的整体性态 |
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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解的整体性态[J].陕西理工学院学报(自然科学版),2012,28(4):41-44,73. |
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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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| 基金项目： | 安康学院科研基金资助项目 |
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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性态。首先,讨论该模型解的整体存在性和一致有界性,然后应用线性化方法和Lyapunov函数方法讨论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： | 反应扩散 密度制约 局部稳定性 全局稳定性 |
Global behavior of solutions to a two species food-chain model with density restriction |
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| YAN Sha.Global behavior of solutions to a two species food-chain model with density restriction[J].Journal of Shananxi University of Technology:Natural Science Edition,2012,28(4):41-44,73. |
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| Authors: | YAN Sha |
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| Institution: | YAN Sha(Department of Mathematics,Ankang University,Ankang 725000,China) |
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| Abstract: | The global behavior of solutions to a two-species food-chain model was considered.Firstly,the global existence and uniform boundedness of solutions for this model were 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: | reaction-diffusion density restriction local stability global stability |
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