Title: Existence, uniqueness and stability of positive steady state solution to nonlocal Fisher type equations
Speaker: Junping Shi (College of William & Mary)
Abstract: Nonlocal Fisher type equation is a reaction-diffusion equation with logistic non-linearity which has an integral form carrying capacity. In general such models do not satisfy maximal principle. We will discuss the existence, uniqueness and stability of positive steady state solution for such equations under different boundary conditions and different kernel functions. Local and global stability of the steady state in time evolution model with or without delay effect will also be considered. Finally we will also discuss some results for two-species competition models with nonlocal carrying capacity. In particular we show that the co-existence steady state may not be unique.
Seminar URL: https://research.math.osu.edu/pde/
