具有非线性竞争的反应扩散系统的传播动力学

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-01 DOI:10.1016/j.nonrwa.2024.104184

Manjun Ma , Yangwei Chen , Yazhou Han

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引用次数: 0

摘要

本研究涉及一个具有非线性耦合反应项的竞争系统。通过使用 Schauder 定点定理，我们首先证明了连接两个不满足竞争排序的均匀静止态的行波解的存在。然后，我们得到了两个物种的一些渐近传播特性，并在此基础上推导出了所考虑系统的渐近传播速度的多重性。最后，数值模拟证实了满足不同渐近条件的行波解的存在，本文和参考文献从理论上确立了这些渐近条件。

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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Propagation dynamics for a reaction–diffusion system with nonlinear competition

This work is concerned with a competition system with nonlinear coupled reaction terms. By using Schauder’s fixed point theorem, we first prove the existence of a traveling wave solution connecting two uniform stationary states that do not satisfy the competitive ordering. Then some asymptotic spreading properties of the two species are obtained, and on this basis, we derive the multiplicity of asymptotic spreading speed of the considered system. Finally, numerical simulations corroborate the existence of traveling wave solutions satisfying different asymptotic conditions, which are theoretically established by the current paper and the reference.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.