Journal article
On a cross-diffusion system modeling vegetation spots and strips in a semi-arid or arid landscape
Nonlinear analysis, Vol.159, pp.482-491
08/2017
DOI: 10.1016/j.na.2017.02.022
Abstract
In this paper we study a model which describes the pattern formation of vegetation spots and strips in a semi-arid or arid landscape. The mathematical model consists of a nonlinear cross-diffusion system with evaporation and absorption sources. Global existence and uniqueness in classical sense for the system are established. Some asymptotic behaviors of the solution are derived for a linearized system. It is shown that the solution of the linearized system is asymptotically stable near the steady-state solution. Moreover, we show that the Turing phenomenon occurs for the linearized cross-diffusion system and the cross-diffusion destabilizes the ecosystem.
Details
- Title: Subtitle
- On a cross-diffusion system modeling vegetation spots and strips in a semi-arid or arid landscape
- Creators
- Hong-Ming Yin - Department of Mathematics, Washington State University, Pullman, WA 99164, USAXinfu Chen - Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USALihe Wang - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
- Resource Type
- Journal article
- Publication Details
- Nonlinear analysis, Vol.159, pp.482-491
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.na.2017.02.022
- ISSN
- 0362-546X
- eISSN
- 1873-5215
- Language
- English
- Date published
- 08/2017
- Academic Unit
- Mathematics
- Record Identifier
- 9984083821902771
Metrics
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