Special Session 6: Propagation dynamics of PDEs: recent progress and trends
Stability of traveling waves in non-cooperative systems with nonlocal dispersal of general diffusivities
Arnaud Ducrot
Universite Le Havre Normandie France
Co-Author(s):
Abstract:
In this lecture, we first establish a stability theorem for traveling wave solutions in a class of non-cooperative reaction-diffusion systems featuring nonlocal dispersal of general diffusivities. Our stability condition requires that the initial perturbation leads to a bounded and integrable weighted relative entropy f.