Spatial Invasion of a Birth Pulse Population with Nonlocal Dispersal
Ruiwen Wu, Xiao-Qiang Zhao
Source abstract
We propose an impulsive integro-differential model to describe the dynamics of an invading species with a pulsive reproduction stage and a nonlocal dispersal stage. We first establish a threshold-type result on the global dynamics of the system in a bounded domain, and present an application to insect pests outbreak in terms of the critical domain size. For the spatial spread in an unbounded domain, we then prove the existence of the invasion speed and its coincidence with the minimal speed for monotone traveling waves. Numerical simulations are also carried out to illustrate our analytical results.
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