The minimal wave speed to the Lotka-Volterra competition model

This paper focuses on selection mechanisms of the minimal speed of traveling waves to the Lotka-Volterra reaction-diffusion model. We first establish general conditions for the linear and nonlinear selection by way of an upper and lower solution method. Then some explicit criteria are derived by sub...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2020-08, Vol.488 (2), p.124106, Article 124106
Main Authors: Yue, Yuanxi, Han, Yazhou, Tao, Jicheng, Ma, Manjun
Format: Article
Language:English
Subjects:
Linear selection
Lotka-Volterra model
Minimal wave speed
Nonlinear selection
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Summary:This paper focuses on selection mechanisms of the minimal speed of traveling waves to the Lotka-Volterra reaction-diffusion model. We first establish general conditions for the linear and nonlinear selection by way of an upper and lower solution method. Then some explicit criteria are derived by subtly constructing formulas of upper and lower solutions. The obtained conditions substantially improve or complement the corresponding results in the known references.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2020.124106