| 具有阶段结构的Gilpin-Ayala竞争系统的行波解 |
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| 引用本文： | 谢溪庄,张景伟.具有阶段结构的Gilpin-Ayala竞争系统的行波解[J].长春师范学院学报,2011(6):5-9. |
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| 作者姓名： | 谢溪庄 张景伟 |
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| 作者单位： | 华侨大学数学科学学院;北京市顺义区第九中学; |
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| 基金项目： | 国务院侨办科研基金资助项目(09QZR10) |
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| 摘 要： | 本文构造并研究了一类具有阶段结构和离散时滞的Gilpin-Ayala时滞反应扩散模型。利用Wu和Zou建立的一般有限时滞的反应扩散方程组波前解存在性的理论,证明了连接两个边界平衡解的行波解的存在性。
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| 关 键 词： | 阶段结构 时滞 行波解 平衡点 反应扩散方程 |
Traveling Wave Solutions of Gilpin-Ayala Competing System with Stage Structure |
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| XIE Xi-zhuang,ZHANG Jing-wei.Traveling Wave Solutions of Gilpin-Ayala Competing System with Stage Structure[J].Journal of Changchun Teachers College,2011(6):5-9. |
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| Authors: | XIE Xi-zhuang ZHANG Jing-wei |
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| Institution: | XIE Xi-zhuang1,ZHANG Jing-wei2(1.School of Mathematical Science,Huaqiao University,Quanzhou 362021,China,2.Shunyi No.9 Middle School,Beijing 101300,China) |
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| Abstract: | In this paper,a Gilpin-Ayala reaction-diffusion model with stage structure and discrete time delay is proposed and studied.With Wu and Zou's theory of the existence of wave front solutions of reaction-diffusive equations set with general finite delays,the existence of traveling wave solutions which connecting two boundary equilibrium solutions is proved. |
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| Keywords: | stage structure time delay traveling wave solution equilibrium point reaction-diffusion equation |
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