| 具有阶段结构和非线性种群内制约关系竞争系统的行波解 |
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| 引用本文： | 谢溪庄.具有阶段结构和非线性种群内制约关系竞争系统的行波解[J].数学研究,2011,44(2):206-213. |
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| 作者姓名： | 谢溪庄 |
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| 作者单位： | 华侨大学数学科学学院,福建泉州,362021 |
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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： | 构造并研究一类具有非局部时滞和非线性种内制约关系的竞争系统的反应扩散模型.利用Wang,Li和Ruan建立的非局部时滞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 非线性种内制约关系 行波解 |
Traveling Fronts in Competing Model with Stage Structure and Intraspecific Regulation |
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| Xie Xizhuang.Traveling Fronts in Competing Model with Stage Structure and Intraspecific Regulation[J].Journal of Mathematical Study,2011,44(2):206-213. |
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| Authors: | Xie Xizhuang |
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| Institution: | Xie Xizhuang (School of Mathematical Sciences,HuaQiao University,Quanzhou Fujian 362021) |
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| Abstract: | In this paper,the author proposed and considered a reaction-diffusion equation in competing model with distributed types of delays and nonlinear intraspecific regulation.We established the existence of traveling wave fronts connecting two boundary equilibriums.The approach used in this paper is the upper-lower solutions technique and the monotone iteration developed by Wang,Li and Ruan for reaction-diffusion systems with spatio-temporal delays. |
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| Keywords: | Stage structure Nonlinear intraspecific regulation Traveling wave front |
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