Stability analysis of continuous population model involving predation and Allee effect

Abstract

This paper presents the stability analysis of equilibrium points of a general continuous time population dynamics model involving predation subject to an Allee effect which occurs at low population density. The mathematical results and numerical simulations show that the system subject to an Allee effect takes much longer time to reach its stable state at an equilibrium point at which is indeed stable. (C) 2008 Elsevier Ltd. All rights reserved.