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

被引：2

作者：

Huang, Yin-Liang ^{[1
]}

Wu, Chang-Hong ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 453卷 / 02期

关键词：

Positive steady states; Reaction-diffusion-advection; Population dynamics; Periodic environment; SEMILINEAR ELLIPTIC-EQUATIONS; SPATIAL HETEROGENEITY; PRINCIPAL EIGENVALUE; LOGISTIC EQUATIONS; INDEFINITE WEIGHTS; POPULATION-MODELS; LIMITING PROFILES; EVOLUTION; DYNAMICS; COEXISTENCE;

D O I：

10.1016/j.jmaa.2017.04.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：724 / 745

页数：22

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