Special Session 29: Reactions diffusion equations with applications to spatial ecology and infectious disease

Persistence of a Two-Stage Structured Population Model with Nonlocal Dispersal

Maria Amarakristi Onyido
Northern Illinois University
USA
Co-Author(s):    Rachidi B. Salako, Markjoe O. Uba, Cyril I. Udeani
Abstract:
This talk will discuss the effects of dispersal rates on the persistence and extinction of a two-stage structured population model with nonlocal dispersal. In particular, we will show that the model dynamics completely depend on the sign of the principal spectrum point of its linearization at the trivial solution. Furthermore, the asymptotic limits of the principal spectrum point and that of positive steady states of the model will also be addressed.