Abstract
In this paper, we develop a population equation based on the Ricker model with periodic carrying capacity and embedded mechanisms of both weak and strong types of Allee effect: We prove a persistence property and existence of periodic solutions in each case of Allee effect. We find sufficient conditions for the periodic solution to be globally asymptotically stable and sufficient conditions for this solution to become unstable. We show that the mechanism of weak Allee effect increases the range of stability for the periodic solution.
Disclosure statement
No potential conflict of interest was reported by the author(s).