Spatiotemporal patterns induced by cross-diffusion on vegetation model

AIMS Mathematics

article

Shuo Xu¹  Chunrui Zhang¹ 

[1] Department of Mathematics, Northeast Forestry University

关键词: semi-arid ecosystems;    Turing bifurcation;    steady-state bifurcation;    cross-diffusion;    relaxation time;   

DOI  :  10.3934/math.2022776

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This paper considers the influence of cross-diffusion on semi-arid ecosystems based on simplified Hardenberg's reaction diffusion model. In the square region, we analyze the properties of this model and give the relaxation time correspond to the system to prejudge the approximate time of this system stabilization process. The numerical results are constant with the theory very well.

【 授权许可】

CC BY