| 带有食饵保护的扩散Leslie-Gower型捕食系统的定性分析 |
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| 引用本文： | 李彦,史红波.带有食饵保护的扩散Leslie-Gower型捕食系统的定性分析[J].西南农业大学学报,2010,32(9). |
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| 作者姓名： | 李彦 史红波 |
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| 作者单位： | 淮阴师范学院数学科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10801065) |
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| 摘 要： | 研究了满足齐次Neumann边界条件的一类带有食饵保护的扩散Leslie-Gower型捕食系统.讨论了系统的长时间行为,包括系统的全局吸引子和持久性,并分别运用线性化方法和Lyapunov函数方法得到了系统唯一正常数平衡态的局部稳定性和全局稳定性.
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| 关 键 词： | 捕食系统 食饵保护 扩散 稳定性 持久性 |
A Diffusive Leslie-Gower Type Predator-Prey System with a Prey Refuge |
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| LI Yan,SHI Hong-bo School of Mathematical Science,Huaiyin Normal University,Huai'an Jiangsu ,China.A Diffusive Leslie-Gower Type Predator-Prey System with a Prey Refuge[J].Journal of Southwest Agricultural University,2010,32(9). |
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| Authors: | LI Yan SHI Hong-bo School of Mathematical Science Huaiyin Normal University Huai'an Jiangsu China |
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| Institution: | LI Yan,SHI Hong-bo School of Mathematical Science,Huaiyin Normal University,Huai'an Jiangsu 223300,China |
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| Abstract: | This paper is concerned with a diffusive Leslie-Gower type predator-prey system under homogeneous Neumann boundary conditions,studies the large time behavior of this system,including the persistence of its global attractor,and obtains the local/global asymptotic stability of the unique positive constant steady state of the system with the linearization method and by constructing a suitable Lyapunov function. |
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| Keywords: | predator-prey system prey refuge diffusion stability persistence |
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