title: Population models with Allee effect: a new model.
abstract: In this paper, we develop several population models with Allee effects. We start by defining the Allee effect as a phenomenon in which individual fitness increases with increasing density. Based on this biological assumption, we develop several fitness functions that produce corresponding models with Allee effects. In particular, a rational fitness function yields a new mathematical model, which is the focus of our study. Then we study the dynamics of 2-periodic systems with Allee effects and show the existence of an asymptotically stable 2-periodic carrying capacity.
authors.affiliation: Department of Mathematics, Trinity University, San Antonio, TX 78212, USA. selaydi@trinity.edu
authors.forename: Saber N
authors.initials: SN
authors.lastname: Elaydi
authors.forename: Robert J
authors.initials: RJ
authors.lastname: Sacker
mesh_terms: D003247:Conservation of Natural Resources; D008954:Models, Biological; D011157:Population Dynamics