Claremont Center for the Mathematical Sciences

The current talk is concerned with some dynamical issues in nonlocal dispersal evolution equations. First, I will present some spectral theory for nonlocal dispersal operators with time periodic dependence. I will then consider the asymptotic dynamics of nonlocal dispersal evolution equations/systems in bounded media. Finally, I will give some discussion on the front propagation dynamics of nonlocal dispersal evolution equations in unbounded media.