Gui-Jie Lan

Quasi-ergodic Analysis of a Stochastic Model with Two-Component Allee Effects

We develop a stochastic diffusion model with two component Allee effects via a continu- um limit of a discrete Markov process. The boundary classification proves that zero is exit and infinity is entrance. Using intrinsic ultracontractivity of the associated semigroup, we establish the existence and uniqueness of a qua...