Time periodic traveling waves for a periodic nonlocal dispersal model with delay,Proceedings of the American Mathematical Society

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Time periodic traveling waves for a periodic nonlocal dispersal model with delay
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-07-20 , DOI: 10.1090/proc/15085
Shi-Liang Wu , Ming-di Huang

Abstract:This paper is concerned with the time periodic traveling waves of a periodic nonlocal dispersal equation with delay. In the quasi-monotone case, we establish the exponential stability of all noncritical periodic traveling fronts. The exponential decay rate is also given. Then, we prove the uniqueness of all noncritical periodic traveling waves of the equation with or without quasi-monotone condition. Our results give an affirmative answer to a problem presented by Li, Wang, and Zhao.

中文翻译：

具有时滞的周期非局部扩散模型的时间周期行波。

摘要：本文涉及具有时滞的周期非局部扩散方程的时间周期行波。在准单调情况下，我们建立了所有非关键周期行进前沿的指数稳定性。还给出了指数衰减率。然后，我们证明了带有或不带有准单调条件的方程的所有非临界周期行波的唯一性。我们的结果对李，王和赵提出的问题给出了肯定的答案。

更新日期：2020-08-20

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