Special Session 13: Propagation Phenomena in Reaction-Diffusion Systems

Propagating front solutions to Fisher-KPP equation with time-fractional derivative

Hiroshi Ishii
Hokkaido University
Japan
Co-Author(s):    
Abstract:
In this talk, we address the Fisher-KPP equation with a Caputo derivative as the time derivative and discuss the long-time behavior of the front solution. After briefly explaining the background of the model, we will introduce numerical results and discuss the expected properties of the solution. Additionally, to characterize the long-time behavior of the solution, we assume that the solution asymptotically behaves like a traveling wave solution and present the results of our analysis of potential traveling wave solutions to which the solution may converge. We will also explain the usefulness of these results.