Dynamics of a Nonlocal Dispersal Population Model With Annually Synchronized Emergence of Adults

Abstract

This paper is devoted to studying the spatial dynamics of a nonlocal dispersal species model with annually synchronized emergence of adults. In the situation of a bounded domain, we show threshold dynamics of the adult population, and provide exact persistence criterion. In the situation of a spatially homogeneous unbounded domain, we obtain the existence and computation formula of spreading speeds, which coincide with the minimal wave speed for the traveling waves. The above results are obtained in both monotone and nonmonotone cases of maturation impulse function. Numerical simulations are carried out to demonstrate the theoretical results.