Positive steady states of reaction-diffusion-advection competition models in periodic environment

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:453

Article

Huang, Yin-Liang¹  Wu, Chang-Hong¹ 

[1] Natl Univ Tainan, Dept Appl Math, Tainan, Taiwan

关键词: Positive steady states;    Reaction-diffusion-advection;    Population dynamics;    Periodic environment;   

DOI  :  10.1016/j.jmaa.2017.04.026

来源: Elsevier

【 摘 要 】

In this paper, we consider the positive steady states for reaction diffusion advection competition models in the whole space with a spatially periodic structure. Under the spatially periodic setting, we establish sufficient conditions for the existence of positive steady states of this model, respectively, by investigating the sign of the principal eigenvalue for some linearized eigenvalue problems. As an application, a Lotka-Volterra reaction diffusion advection model for two competing species in a spatially periodic environment is considered. Finally, some numerical simulations are presented to seek dynamical behaviors. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free