Document Type

Post-Print

Publication Date

7-2010

Abstract

In this paper we develop several mathematical models of 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 that is our focus of 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.

Document Object Identifier (DOI)

10.1080/17513750903377434

Publication Information

Journal of Biological Dynamics

Included in

Mathematics Commons

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