| 空间非局部带时滞的Hosono-Mimura模型的双稳行波解 |
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| 引用本文： | 吴庆华,汤燕斌.空间非局部带时滞的Hosono-Mimura模型的双稳行波解[J].应用数学学报,2011,34(6). |
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| 作者姓名： | 吴庆华 汤燕斌 |
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| 作者单位： | 1. 孝感学院数学与统计学院,孝感,432000
2. 华中科技大学数学与统计学院,武汉,430074 |
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| 基金项目： | 湖北省教育厅科研资助项目 |
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| 摘 要： | 本文讨论了两个物种的竞争Hosono-Mimura模型.首先,我们考虑了该系统对应的非线性系统平衡点的稳定性；然后,我们证明了空间非局部带时滞的Hosono-Mimura竞争扩散系统有联结两个稳定平衡点的行波解.在证明行波解的存在性时,我们通过变换,把空间非局部的时滞模型转化成了一个四维的非时滞系统来讨论.
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| 关 键 词： | 行波解 平衡点 时滞 反应扩散方程 |
Bistable Wave Fronts in the Hosono-Mimura System with Nonlocal Delays |
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| WU QINGHUA,TANG YANRIN.Bistable Wave Fronts in the Hosono-Mimura System with Nonlocal Delays[J].Acta Mathematicae Applicatae Sinica,2011,34(6). |
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| Authors: | WU QINGHUA TANG YANRIN |
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| Institution: | WU QINGHUA (School of Mathematics and Statistics,Xiaogan University,Xiaogan 432000) TANG YANBIN (School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074) |
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| Abstract: | A diffusive Hosono-Mimura type model with nonlocal delays for two competitive species is considered.The first,we studied the stability for equilibriums of the nonlinearitics. And then,the existence of traveling wave fronts analogous to a bistable wave front for two competitive species is proved by transforming the system with nonlocal delays to a four- dimensional system without delay. |
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| Keywords: | traveling wave solutions equilibrium time delay reaction-diffusion equation |
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