Wavespeed in Reaction-Diffusion Systems
The goal of this blog is to understand how Melnikov theory can be used to determine the wavespeed of travelling waves in a perturbed reaction-diffusion system. In particular the focus of this blog will be on the paper Wavespeed in reaction-diffusion systems, with application to chemotaxis and population pressure (Balasuriya and Gottwald 2010). We wish to investigate perturbing a standard form of a reaction-diffusion partial differential equation (PDE) which allows us to use tools from Melnikov method to find the wavespeed of the solution....