The current talk is concerned with the spectral theory, in particular, the principal eigenvalue theory, of nonlocal dispersal operators with time
periodic dependence, and its applications. Nonlocal and
random dispersal operators are widely used to model diffusion systems
in applied sciences and share many properties.
There are also some essential differences between nonlocal and random dispersal operators, for example, a random dispersal operator always has a principal
eigenvalue, but a nonlocal dispersal operator may not