Consider the non-autonomous logistic model ∆xn = pnxn 1− xn−kn 1− λxn−kn , n = 0, 1, 2, · · ·, where {pn} is a sequence of positive real numbers, {kn} a sequence of nonnegative integers satisfying limn→∞(n−kn) = ∞, λ ∈ [0, 1). We obtain new sufficient conditions for the attractivity of equilibrium x = 1 of the model, which improve and generalize some recent results established by Chen and Yu [4...

In this paper, we investigate a nonlocal periodic reaction-diffusion population model with stage structure. In the case of unbounded spatial domain, we establish the existence of the asymptotic speed of spread and show that it coincides with the minimal wave speed for monotone periodic traveling waves. In the case of bounded spatial domain, we obtain a threshold result on the global attractivit...