Spatiotemporal patterns induced by cross-diffusion on vegetation model

AIMS Mathematics

Chunrui Zhang¹  Shuo Xu¹ 

[1] Department of Mathematics, Northeast Forestry University, Harbin 150040, China;

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

DOI  :  10.3934/math.2022776

来源: DOAJ

【 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】

Unknown