Special Session 14: Global or/and Blowup Solutions for Nonlinear Evolution Equations and Their Applications
Impact of Nonlocal Dispersal and Time-Periodicity on the Global Exponential Stability of Bistable Traveling Waves
Chunhua OU
Memorial University Canada
Co-Author(s): Prof Manjun Ma and Wentao Meng
Abstract:
Global exponential stability of bistable traveling wave solutions to a periodic Lotka-Volterra system with nonlocal dispersal is investigated. We first establish a refined squeezing upper and lower solutions based on the property of the bistable wavefront. This important squeezing technique has been successfully applied to study the exponential convergence of solutions.