Special Session 23: New trends in pattern formations and dynamics for dissipative systems and related topics
Stability of traveling waves in non-cooperative systems with nonlocal dispersal of equal diffusivities
Masahiko Shimojo
Tokyo Metropolitan University Japan
Co-Author(s): Jong-Shenq Guo
Abstract:
We explore the stability of traveling waves in a class of non-cooperative reaction-diffusion systems with nonlocal dispersal, when the diffusivities are equal. Our stability criterion for traveling waves is based on measuring initial perturbations by a weighted relative entropy. To demonstrate the practical applications of this theory, we will present several examples from ecology and epidemiology.