Stochastic travelling wave solution of the $ N $-species cooperative systems with multiplicative noise-Reference-Cited by-同舟云学术

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

Published:2023 Issue:8 Volume:31 Page:4406-4426
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Wen Hao¹,Luo Yantao²,Huang Jianhua²,Li Yuhong³

Affiliation:

1. China Aerodynamics Research and Development Center, Mianyang 621000, China

2. College of Science, National University of Defense Technology, Changsha 410073, China

3. School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference27 articles.

1. R. Tribe, A travelling wave solution to the kolmogorov equation with noise, Stoch. Stoch. Rep., 56 (1996), 317–340. https://doi.org/10.1080/17442509608834047

2. C. Müeller, R. B. Sowers, Random travelling waves for the KPP equation with noise, J. Funct. Anal., 128 (1995), 439–498. https://doi.org/10.1006/jfan.1995.1038

3. C. Müeller, L. Mytnik, J. Quastel, Effect of noise on front propagation in reaction-diffusion equations of KPP type, Invent. Math., 184 (2011), 405–453. https://doi.org/10.1007/s00222-010-0292-5

4. C. Müeller, L. Mytnik, L. Ryzhik, The speed of a random front for stochastic reaction-diffusion equations with strong noise, Commun. Math. Phys., 384 (2021), 699–732. https://doi.org/10.1007/s00220-021-04084-0

5. K. Elworthy, H. Zhao, The propagation of travelling waves for stochastic generalized KPP equations, Stoch. Process. Their Appl., 20 (1994), 131–166. https://doi.org/10.1016/0895-7177(94)90162-7

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stochastic travelling wave of three-species competitive–cooperative systems with multiplicative noise;Dynamical Systems;2023-12-28