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Traveling waves in nonlocal diffusion systems with delays and partial quasi-monotonicity
  • ISSN号：1005-1031
  • 期刊名称：Applied Mathematics-A Journal of Chinese Universit
  • 时间：2011.12
  • 页码：464-482
  • 分类：Q141[生物学—生态学;生物学—普通生物学] O174[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Mathematics, South China Normal University, Gungzhou 510631, China.
  • 相关基金：Supported by the Natural Science Foundation of China （11171120）, the Doctoral Program of Higher Education of China （20094407110001） and Natural Science Foundation of Guangdong Province （10151063101000003）.
  • 相关项目：某些扩散发展系统行波的时空传播
作者： Xu Zhao-quan|Weng Pei-xuan|
关键词： 扩散系统, 单调, Volterra模型, 延误, 旅行, 延迟系统, 交叉迭代, 扩散模型, Traveling wave, nonlocal diffusion, partial quasi-monotonicity, upper and lower solution, cross iteration scheme.
中文摘要：

这份报纸与非局部的散开和部分 quasi-monotonicity 被奉献给一个三维的推迟的系统的学习。由开发上面降低答案和一个新生气重复计划的一个新定义，我们证实旅行的一些存在结果挥动答案。结果被用于作为它的特殊情况带三种类的 Lotka-Volterra 模特儿的一个非局部的散开模型。

英文摘要：

This paper is devoted to the study of a three-dimensional delayed system with nonlocal diffusion and partial quasi-monotonicity. By developing a new definition of upper-lower solutions and a new cross iteration scheme, we establish some existence results of traveling wave solutions. The results are applied to a nonlocal diffusion model which takes the three-species Lotka-Volterra model as its special case.

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某些扩散发展系统行波的时空传播
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期刊信息
  • 《高校应用数学学报：英文版（B辑）》
  • 主管单位:教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu B@eju.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1005-1031
  • 国内统一刊号：ISSN：33-1171/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国科学引文索引（扩展库）
  • 被引量:26