Exact propagating wave solutions in reaction cross-diffusion system

Chaos, Solitons & Fractals: X

Vadim N. Biktashev¹  Abdullah Aldurayhim² 

[1] College of Engineering, Mathematics and Physical Sciences, University of Exeter, Exeter EX4 4QF, UK;Mathematics Department, College of Science and Humanities in Al-Kharj,Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia;

关键词: Reaction-diffusion;    Cross-diffusion;    Fisher-KPP model;    ZFK-Nagumo Model;    Propagating wave;    Propagating front;   

DOI  :  

来源: DOAJ

【 摘 要 】

Reaction-diffusion systems with cross-diffusion terms in addition to, or instead of, the usual self-diffusion demonstrate interesting features which motivate their further study. The present work is aimed at designing a toy reaction-cross-diffusion model with exact solutions in the form of propagating fronts. We propose a minimal model of this kind which involves two species linked by cross-diffusion, one of which governed by a linear equation and the other having a polynomial kinetic term. We classify the resulting exact propagating front solutions. Some of them have some features of the Fisher-KPP fronts and some features of the ZFK-Nagumo fronts.

【 授权许可】

Unknown