数学

耦合时空时滞的单种群模型行波解的存在性

  • 杨高翔 ,
  • 赵临龙
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  • 安康学院 数学与统计学院, 陕西 安康 725000
杨高翔,男,博士,副教授,研究方向为反应扩散方程定性理论与生物数学.E-mail:stx_ygx@aku.edu.cn

收稿日期: 2017-06-01

  网络出版日期: 2018-07-19

基金资助

陕西省教育厅项目,(15JK1016);安康学院项目,(2016AYQDZR10)

Existence of a travelling wave solution for a single population model with spatio-temporal delay

  • YANG Gao-xiang ,
  • ZHAO Lin-long
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  • School of Mathematics and Statistics, Ankang University, Ankang Shaanxi 725000, China

Received date: 2017-06-01

  Online published: 2018-07-19

摘要

主要借助几何奇异摄动法分析了一类带时空时滞的单种群模型中行波解的存在性,分析结果表明当时滞量比较小时该单种群模型存在波前解.另外,借助数值模拟的方法验证了该理论结果,模拟结果发现当时滞比较小时数值模拟结果与理论分析结果相吻合,该单种群模型存在波前解.

本文引用格式

杨高翔 , 赵临龙 . 耦合时空时滞的单种群模型行波解的存在性[J]. 华东师范大学学报(自然科学版), 2018 , 2018(4) : 1 -8 . DOI: 10.3969/j.issn.1000-5641.2018.04.001

Abstract

In this paper, the existence of a travelling wave solution for a single population model with spatio-temporal delay is investigated by employing singular perturbation. The theoretical results are validated by using a numerical method. When the time delay is very small, a wave front solution exists; however, as the time delay increases, the shape of this travelling wave solution can vary and an oscillation wake can occur.

参考文献

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