Pattern transitions in a vegetation system with cross-diffusion

Chen Liu, Li Li, Zhen Wang, Ruiwu Wang

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Regular pattern is a typical feature of vegetation distribution which can be recognized as early warnings of desertification. In this work, a vegetation system with cross diffusion is presented based on reaction-diffusion equations. By means of mathematical analysis, we obtain the appropriate parameter space which can ensure the emergence of stationary patterns. Moreover, it is unveiled that cross diffusion not only induces the pattern transitions, yet promotes the density of the vegetation. These obtained results suggest that cross diffusion is an important mechanism in vegetation dynamics.

Original languageEnglish
Pages (from-to)255-262
Number of pages8
JournalApplied Mathematics and Computation
Volume342
DOIs
StatePublished - 1 Feb 2019

Keywords

  • Cross diffusion
  • Stationary pattern
  • Vegetation system

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