scholarly journals Shock-fronted travelling waves in a reaction-diffusion model with nonlinear forward-backward-forward diffusion

2021 ◽  
pp. 132916
Author(s):  
Yifei Li ◽  
Peter van Heijster ◽  
Matthew J. Simpson ◽  
Martin Wechselberger
Keyword(s):  
Diffusion Model ◽  
Travelling Waves ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Forward Diffusion

Travelling waves in a reaction-diffusion model for electrodeposition

2011 ◽  
Vol 81 (5) ◽  
pp. 1027-1044 ◽  
Author(s):  
Benedetto Bozzini ◽  
Deborah Lacitignola ◽  
Ivonne Sgura
Keyword(s):  
Diffusion Model ◽  
Travelling Waves ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model

Asymptotic behaviour of a reaction–diffusion model with a quiescent stage

2007 ◽  
Vol 463 (2080) ◽  
pp. 1029-1043 ◽  
Author(s):  
Kate Fang Zhang ◽  
Xiao-Qiang Zhao
Keyword(s):  
Asymptotic Behaviour ◽  
Diffusion Model ◽  
Wave Speed ◽  
Global Attractivity ◽  
Travelling Waves ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Asymptotic Speed ◽  
Minimal Wave Speed ◽  
Quiescent Stage

This paper is devoted to the investigation of the asymptotic behaviour for a reaction–diffusion model with a quiescent stage. We first establish the existence of the asymptotic speed of spread and show that it coincides with the minimal wave speed for monotone travelling waves. Then we obtain a threshold result on the global attractivity of either zero or positive steady state in the case where the spatial domain is bounded.

scholarly journals A new analyzing technique for nonlinear time fractional Cauchy reaction-diffusion model equations

2020 ◽  
Vol 19 ◽  
pp. 103462 ◽  
Author(s):  
Hijaz Ahmad ◽  
Tufail A. Khan ◽  
Imtiaz Ahmad ◽  
Predrag S. Stanimirović ◽  
Yu-Ming Chu
Keyword(s):  
Diffusion Model ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Model Equations
Sign in / Sign up

Export Citation Format

Share Document