Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Nonlinear Science Pub Date : 2024-06-06 DOI:10.1007/s00332-024-10048-0

Rong Zhou, Shi-Liang Wu, Xiong-Xiong Bao

引用次数: 0

Abstract

In this paper, we study the existence of spread speeds and periodic traveling waves for a class of space–time periodic and degenerate cooperative systems with nonlocal dispersal and delays. In order to characterize the spread speeds, we first establish the principal eigenvalue theory for linear space–time periodic and degenerate systems with nonlocal dispersal and delays and give some sufficient conditions for the existence of the principal eigenvalue. Then, we prove the existence of a single spreading speed and give the computational formulae of it. Finally, we generalize the monotone iteration scheme combined with the method of sub–super-solutions to prove the existence of the space–time periodic traveling waves.

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周期性生境中具有非局部散布的退化延迟系统的传播动力学

本文研究了一类具有非局部分散和延迟的时空周期和退化合作系统的传播速度和周期行波的存在性。为了描述传播速度的特征，我们首先建立了具有非局部分散和延迟的线性时空周期和退化系统的主特征值理论，并给出了主特征值存在的一些充分条件。然后，我们证明了单一扩散速度的存在，并给出了其计算公式。最后，我们将单调迭代方案与子超解方法相结合，证明了时空周期性行波的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Nonlinear Science 数学-力学

CiteScore

5.00

自引率

3.30%

发文量

审稿时长

4.5 months

期刊介绍： The mission of the Journal of Nonlinear Science is to publish papers that augment the fundamental ways we describe, model, and predict nonlinear phenomena. Papers should make an original contribution to at least one technical area and should in addition illuminate issues beyond that area''s boundaries. Even excellent papers in a narrow field of interest are not appropriate for the journal. Papers can be oriented toward theory, experimentation, algorithms, numerical simulations, or applications as long as the work is creative and sound. Excessively theoretical work in which the application to natural phenomena is not apparent (at least through similar techniques) or in which the development of fundamental methodologies is not present is probably not appropriate. In turn, papers oriented toward experimentation, numerical simulations, or applications must not simply report results without an indication of what a theoretical explanation might be. All papers should be submitted in English and must meet common standards of usage and grammar. In addition, because ours is a multidisciplinary subject, at minimum the introduction to the paper should be readable to a broad range of scientists and not only to specialists in the subject area. The scientific importance of the paper and its conclusions should be made clear in the introduction-this means that not only should the problem you study be presented, but its historical background, its relevance to science and technology, the specific phenomena it can be used to describe or investigate, and the outstanding open issues related to it should be explained. Failure to achieve this could disqualify the paper.