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一类时间周期的时滞竞争系统行波解的存在性

谷雨萌 黄明迪

谷雨萌, 黄明迪. 一类时间周期的时滞竞争系统行波解的存在性[J]. 应用数学和力学, 2020, 41(6): 658-668. doi: 10.21656/1000-0887.400275
引用本文: 谷雨萌, 黄明迪. 一类时间周期的时滞竞争系统行波解的存在性[J]. 应用数学和力学, 2020, 41(6): 658-668. doi: 10.21656/1000-0887.400275
GU Yumeng, HUANG Mingdi. Existence of Periodic Traveling Waves for Time-Periodic Lotka-Volterra Competition Systems With Delay[J]. Applied Mathematics and Mechanics, 2020, 41(6): 658-668. doi: 10.21656/1000-0887.400275
Citation: GU Yumeng, HUANG Mingdi. Existence of Periodic Traveling Waves for Time-Periodic Lotka-Volterra Competition Systems With Delay[J]. Applied Mathematics and Mechanics, 2020, 41(6): 658-668. doi: 10.21656/1000-0887.400275

一类时间周期的时滞竞争系统行波解的存在性

doi: 10.21656/1000-0887.400275
基金项目: 陕西省杰出青年科学基金(2020JC-24)
详细信息
    作者简介:

    谷雨萌(1994—),女,硕士生(E-mail: 568245175@qq.com);黄明迪(1994—),男,博士生(通讯作者. E-mail: xd_mdhuang@163.com).

  • 中图分类号: O175.14

Existence of Periodic Traveling Waves for Time-Periodic Lotka-Volterra Competition Systems With Delay

  • 摘要: 该文研究了一类时间周期的时滞Lotka-Volterra竞争系统的行波解.首先, 通过构造适当的上、下解, 结合单调迭代的方法证明了当c*时, 存在连接两个半正周期平衡点的行波解, 并且利用比较原理得到了周期行波解关于z的单调性.其次, 通过单调性证明了行波解在正、负无穷远处的渐近行为.最后, 证明了当c=c*时周期行波解的存在性.
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出版历程
  • 收稿日期:  2019-09-16
  • 修回日期:  2020-01-01
  • 刊出日期:  2020-06-01

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