| 一类捕食者-食饵系统的时间周期解的存在性 |
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| 引用本文： | 施秀莲,付一平. 一类捕食者-食饵系统的时间周期解的存在性[J]. 佛山科学技术学院学报(自然科学版), 2005, 23(2): 4-7 |
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| 作者姓名： | 施秀莲 付一平 |
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| 作者单位： | 华南理工大学,应用数学系,广东,广州,510640 |
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| 摘 要： | 讨论了由一个捕食者和两个食饵组成的反应扩散方程组。运用分歧理论,隐函数定理,以及渐近展开的方法,获得了非平凡周期解的存在性。
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| 关 键 词： | 捕食者-食饵系统 分歧 周期解 |
| 文章编号： | 1008-0171(2005)02-0004-04 |
| 修稿时间： | 2004-11-19 |
Existence and stability of time-periodic solutions for a predator-prey system |
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| SHI Xiu-lian,Fu Yi-ping. Existence and stability of time-periodic solutions for a predator-prey system[J]. Journal of Foshan University(Natural Science Edition), 2005, 23(2): 4-7 |
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| Authors: | SHI Xiu-lian Fu Yi-ping |
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| Abstract: | This paper discusses a type of reaction diffusion system composed of one predator and two preys.The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion. |
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| Keywords: | predator-prey system bifurcation periodic solution |
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