Uniqueness and stability of traveling wave fronts for an age-structured population model in a 2D lattice strip

This paper is concerned with the asymptotic behaviors of the traveling wave fronts of an age-structured population model with monostable nonlinearity in a 2D lattice strip. It is well known that there exists a minimal wave speed c∗>0 such that a traveling wave front exists if and only if its wave speed c⩾c∗. In this paper, using the sliding method, we first prove the uniqueness result provided the wave profiles satisfy some decay conditions at -∞. Then, applying the squeezing technique, we establish the asymptotic stability of the traveling wave front with non-minimal speed.