Principal Eigenvalue Theory of Time Periodic Nonlocal Dispersal Operators and Applications

Friday, December 7, 2012 - 9:00am - 9:50am
Keller 3-180
Wenxian Shen (Auburn University)
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
have a principal eigenvalue. In this talk, I will present criteria for the existence of principal eigenvalues of nonlocal dispersal operators
with time periodic dependence and consider the applications of the criteria
to monostable equations with nonlocal dispersal.
MSC Code: