| 具阶段结构的食饵-捕食者扩散模型的稳定性 |
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| 引用本文： | 苗亮英,张睿,刘志高,卢雪丽.具阶段结构的食饵-捕食者扩散模型的稳定性[J].温州大学学报(自然科学版),2013(4):56-61. |
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| 作者姓名： | 苗亮英 张睿 刘志高 卢雪丽 |
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| 作者单位： | [1]兰州交通大学数理与软件工程学院,甘肃兰州730070 [2]白银市工业学校,甘肃白银730900 |
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| 基金项目： | 甘肃省自然科学基金（1107RJZA197）;甘肃省教育厅硕导项目（1104-11） |
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| 摘 要： | 讨论了一类捕食者种群具有阶段结构的食饵-捕食者扩散模型,运用线性化方法和Lyapunov函数法讨论了该反应扩散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： | 食饵-捕食者模型 阶段结构 扩散 稳定性 |
Stability of a Prey-predator Diffusion Model with Stage Structure |
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| MIAO Liangying,ZhANG Rui,LIU Zhigao,LU Xueli.Stability of a Prey-predator Diffusion Model with Stage Structure[J].Journal of Wenzhou University Natural Science,2013(4):56-61. |
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| Authors: | MIAO Liangying ZhANG Rui LIU Zhigao LU Xueli |
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| Institution: | 1. School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou, China 730070; 2. Baiyin Industry School, Baiyin, China 730900) |
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| Abstract: | A prey-predator diffusion model with predator-stage structure is studied in this paper, and the locally asymptotical stability and the globally asymptotical stability of the non-negative constant steady states are given with linearization and Lyapunov functions. |
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| Keywords: | Prey-predator Model Stage Structure Diffusion Stability |
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