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Research Article | Open Access

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

Hao Wen1, Yantao Luo2, Jianhua Huang2( ), Yuhong Li3
China Aerodynamics Research and Development Center, Mianyang 621000, China
College of Science, National University of Defense Technology, Changsha 410073, China
School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
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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.

Keywords

N-species stochastic cooperative systemFeynman-Kac formulastochastic travelling wavesasymptotic wave speed

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Electronic Research Archive
Volume 31 Issue 8,
August 2023
Pages 4406-4426
DOI: 10.3934/era.2023225

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Cite this article:
Wen H, Luo Y, Huang J, et al. Stochastic travelling wave solution of the N-species cooperative systems with multiplicative noise. Electronic Research Archive, 2023, 31(8): 4406-4426. https://doi.org/10.3934/era.2023225

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Received: 09 March 2023
Revised: 28 April 2023
Accepted: 21 May 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)