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Research Article | Open Access

Spatiotemporal patterns induced by cross-diffusion on vegetation model

Shuo Xu, Chunrui Zhang( )
Department of Mathematics, Northeast Forestry University, Harbin 150040, China
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Abstract

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.

Keywords

semi-arid ecosystemsTuring bifurcationsteady-state bifurcationcross-diffusionrelaxation time
CLC number: 34K18, 35B32

References

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 14076-14098
DOI: 10.3934/math.2022776

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Xu S, Zhang C. Spatiotemporal patterns induced by cross-diffusion on vegetation model. AIMS Mathematics, 2022, 7(8): 14076-14098. https://doi.org/10.3934/math.2022776

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Received: 09 March 2022
Revised: 28 April 2022
Accepted: 16 May 2022
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)