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- Title
Pattern Formations for a Strong Interacting Free Boundary Problem.
- Authors
Zhou, Ling; Zhang, Shan; Liu, Zuhan
- Abstract
In this paper we consider the system of reaction-diffusion-advection equations with a free boundary, which arises in a competition ecological model in heterogeneous environment. In strong competition case, we study the influence of competition rates on the long time behavior of solutions and prove that two species spatially segregate as the competition rates become large. Besides, by using a blow up method, we obtain the uniform Hölder bounds for solutions of the system.
- Subjects
REACTION-diffusion equations; ECOLOGICAL models; ADVECTION-diffusion equations; BOUNDARY value problems; MATHEMATICAL analysis
- Publication
Acta Applicandae Mathematicae, 2017, Vol 148, Issue 1, p121
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-016-0081-2