Competition in Periodic Media: III-Existence and Stability of Segregated Periodic Coexistence States

被引：1

作者：

Girardin, Leo ^{[1
]}

Zilio, Alessandro ^{[2
]}

机构：

[1] Univ Paris 06, Lab Jacques Louis Lions, CNRS, UMR 7598, 4 Pl Jussieu, Paris 75252 05, France

[2] Univ Paris Diderot, CNRS UMR 7598, Lab Jacques Louis Lions, Batiment Sophie Germain, Paris 75205 13, France

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2020年 / 32卷 / 01期

基金：

欧洲研究理事会;

关键词：

Competition-diffusion system; Periodic media; Segregation; Stability; DIFFUSION-SYSTEMS; SPATIAL SEGREGATION; EQUATIONS; FRONTS;

D O I：

10.1007/s10884-019-09732-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a system of parabolic reaction-diffusion equations with strong competition and two related scalar reaction-diffusion equations. We show that in certain space periodic media with large periods, there exist periodic, non-constant, non-trivial, stable stationary states. We compare our results with already known results about the existence and nonexistence of such solutions. Finally, we provide ecological interpretations for these results.

引用

页码：257 / 279

页数：23

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