Asymptotic spreading of a diffusive competition model with different free boundaries

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:266

Article

Liu, Siyu¹  Huang, Haomin¹  Wang, Mingxin¹ 

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

关键词: Competition-diffusion model;    Free boundaries;    Spreading speeds;    Long time behaviors;   

DOI  :  10.1016/j.jde.2018.10.009

来源: Elsevier

【 摘 要 】

Recently, the authors of [22] studied a diffusive prey-predator model with two different free boundaries. They first obtained the existence, uniqueness, regularity, uniform estimates and long time behaviors of global solution, and then established the conditions for spreading and vanishing. Especially, when spreading occurs, they provided accurate limits of two species as t -> +infinity, and gave some estimates of asymptotic spreading speeds of two species and asymptotic speeds of two free boundaries. Motivated by the paper [22], in this paper we discuss the diffusive competition model with two different free boundaries, which had been investigated by [7,11,15,21]. The main purpose of this paper is to establish much sharper estimates of asymptotic spreading speeds of two species and asymptotic speeds of two free boundaries when spreading occurs. Furthermore, how the solution approaches the semi-wave when spreading happens is also described. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free