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Volume 6, Issue 1
Traveling Wave of Three-Species Stochastic Lotka-Volterra Competitive System

Hao Wen & Jianhua Huang

DOI: 10.12150/jnma.2024.32

J. Nonl. Mod. Anal., 6 (2024), pp. 32-55.

Published online: 2024-03

[An open-access article; the PDF is free to any online user.]

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  • Abstract

This paper is devoted to a three-species stochastic competitive system with multiplicative noise. The existence of stochastic traveling wave solution can be obtained by constructing sup/sub-solution and using random dynamical system theory. Furthermore, under a more restrict assumption on the coefficients and by applying Feynman-Kac formula, the upper/lower bounds of asymptotic wave speed can be achieved.

  • Keywords

Stochastic competitive system, white noise, traveling wave solution, asymptotic wave speed.

  • AMS Subject Headings

35R60, 60H15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-6-32, author = {Wen , Hao and Huang , Jianhua}, title = {Traveling Wave of Three-Species Stochastic Lotka-Volterra Competitive System}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {1}, pages = {32--55}, abstract = {

This paper is devoted to a three-species stochastic competitive system with multiplicative noise. The existence of stochastic traveling wave solution can be obtained by constructing sup/sub-solution and using random dynamical system theory. Furthermore, under a more restrict assumption on the coefficients and by applying Feynman-Kac formula, the upper/lower bounds of asymptotic wave speed can be achieved.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.32}, url = {http://global-sci.org/intro/article_detail/jnma/22965.html} }
TY - JOUR T1 - Traveling Wave of Three-Species Stochastic Lotka-Volterra Competitive System AU - Wen , Hao AU - Huang , Jianhua JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 32 EP - 55 PY - 2024 DA - 2024/03 SN - 6 DO - http://doi.org/10.12150/jnma.2024.32 UR - https://global-sci.org/intro/article_detail/jnma/22965.html KW - Stochastic competitive system, white noise, traveling wave solution, asymptotic wave speed. AB -

This paper is devoted to a three-species stochastic competitive system with multiplicative noise. The existence of stochastic traveling wave solution can be obtained by constructing sup/sub-solution and using random dynamical system theory. Furthermore, under a more restrict assumption on the coefficients and by applying Feynman-Kac formula, the upper/lower bounds of asymptotic wave speed can be achieved.

Hao Wen & Jianhua Huang. (2024). Traveling Wave of Three-Species Stochastic Lotka-Volterra Competitive System. Journal of Nonlinear Modeling and Analysis. 6 (1). 32-55. doi:10.12150/jnma.2024.32
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