Speed selection for the wavefronts of the lattice Lotka-Volterra competition system

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Wang, Hongyong¹  Huang, Zhe²  Ou, Chunhua² 

[1] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

关键词: Lattice Lotka-Volterra system;    Traveling waves;    Speed selection;   

DOI  :  10.1016/j.jde.2019.10.009

来源: Elsevier

【 摘 要 】

In this paper we study speed selection for traveling wavefronts of the lattice Lotka-Volterra competition model. For the linear speed selection, by constructing new types of upper solutions to the system, we widely extend the results in the literature. We prove that, for the nonlinear speed selection, the wavefront of the first species decays with a faster rate at the far end. This enables us to construct novel lower solutions to establish the existence of pushed wavefronts, a topic that has been understudied. We raise a new conjecture related to the classical Hosono's version of the diffusive system and our numerical simulations help to confirm it, while our rigorous results only provide a partial answer. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free