scholarly journals A NOTE ON MONOTONE ITERATION METHOD FOR TRAVELING WAVES OF REACTION-DIFFUSION SYSTEMS WITH TIME DELAY

2014 ◽  
Vol 4 (3) ◽  
pp. 283-294 ◽  
Author(s):  
Wenzhang Huang ◽  
◽  
Yinshu Wu ◽  
Keyword(s):  
Time Delay ◽  
Traveling Waves ◽  
Iteration Method ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Monotone Iteration ◽  
Diffusion Systems

scholarly journals Asymptotic Behavior of a Competition-Diffusion System with Variable Coefficients and Time Delays

2008 ◽  
Vol 2008 ◽  
pp. 1-17
Author(s):  
Miguel Uh Zapata ◽  
Eric Avila Vales ◽  
Angel G. Estrella
Keyword(s):  
Asymptotic Behavior ◽  
Time Delay ◽  
Global Attractor ◽  
Iteration Method ◽  
Time Delays ◽  
Reaction Diffusion ◽  
Variable Coefficients ◽  
Diffusion System ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems

A class of time-delay reaction-diffusion systems with variable coefficients which arise from the model of two competing ecological species is discussed. An asymptotic global attractor is established in terms of the variable coefficients, independent of the time delays and the effect of diffusion by the upper-lower solutions and iteration method.

Time-delay-induced instabilities in reaction-diffusion systems

2009 ◽  
Vol 80 (4) ◽  
Author(s):  
Shrabani Sen ◽  
Pushpita Ghosh ◽  
Syed Shahed Riaz ◽  
Deb Shankar Ray
Keyword(s):  
Time Delay ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems

scholarly journals Non-cooperative Fisher–KPP systems: Asymptotic behavior of traveling waves

2018 ◽  
Vol 28 (06) ◽  
pp. 1067-1104 ◽  
Author(s):  
Léo Girardin
Keyword(s):  
Traveling Waves ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Reaction Diffusion ◽  
Positive Cone ◽  
Precise Description ◽  
Kpp Equation ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Null State

This paper is concerned with non-cooperative parabolic reaction–diffusion systems which share structural similarities with the scalar Fisher–KPP equation. In a previous paper, we established that these systems admit traveling wave solutions whose profiles connect the null state to a compact subset of the positive cone. The main object of this paper is the investigation of a more precise description of these profiles. Non-cooperative KPP systems can model various phenomena where the following three mechanisms occur: local diffusion in space, linear cooperation and superlinear competition.

Sign in / Sign up

Export Citation Format

Share Document