一个具有非局部效应的非线性周期反应扩散方程的渐近形态被引量：1

Asymptotic Patterns for a Nonlinear Periodic Reaction-Diffusion Equation with Nonlocal Effect

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摘要研究一个具有非线性-非局部反应的周期反应扩散系统.利用周期半流的渐近理论来讨论渐近波速c~*和周期行波解的存在性,证明参数c~*也是周期行波解的最小波速,并清晰描述解传播的阈值性质.最后给出渐近波速和最小波速c~*的估计. A periodic reaction-diffusion system with nonlinear-nonlocal functional response is considered in this paper.We use the asymptotic theory for periodic semiflow to discuss the existence of spreading speed c* and periodic traveling wave solutions.The threshold property for the spreading spread of solutions is described clearly according to the threshold parameter c* which is exactly the minimal wave speed as well.Finally,we give an estimate of the spreading speed and minimal wave speed c*.

作者黄业辉翁佩萱

机构地区仲恺农业工程学院计算科学学院华南师范大学数学科学学院

出处《数学学报（中文版）》 CSCD 北大核心 2014年第5期1011-1030,共20页 Acta Mathematica Sinica：Chinese Series

基金国家自然科学基金(11171120) 教育部高等学校博士学科点专项科研基金(20094407110001) 广东省自然科学基金项目(10151063101000003)

关键词渐近波速周期行波解非局部效应 spreading speed periodic traveling wave solution nonlocal effect

分类号 O175.29 [理学—基础数学]

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参考文献11

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