Stochastic travelling wave solution of the $ N $-species cooperative systems with multiplicative noise

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3934/era.2023225

Hao Wen, Yantao Luo, Jianhua Huang, Yuhong Li

引用次数: 1

Abstract

The current paper is devoted to the stochastic $ N $-species cooperative system with a moderately strong noise. By the theory of monotone random systems and the technique of suitable marker of wavefront, the existence of the travelling wave solution is established. By applying the Feynman-Kac formula and sup-sub solution technique, the upper and lower bounded of the asymptotic wave speed are also obtained. Finally, we give an example for stochastic 3-species cooperative systems.

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具有乘性噪声的N种合作系统的随机行波解

本文研究具有中等强噪声的随机N种合作系统。利用单调随机系统理论和合适的波前标记技术，证明了行波解的存在性。利用费曼-卡茨公式和上下解法，得到了渐近波速的上界和下界。最后，给出了一个随机三种合作系统的例子。

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

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

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