Title of article :
CONSEQUENCES OF ALLEE EFFECTS ON STABILITY ANALYSIS OF THE POPULATION MODEL X_t+1 = λX_t f(X_t-3)
Author/Authors :
Merdan, H. TOBB University of Economics and Technology - Faculty of Science and Letters - Department of Mathematics, Turkey , Karaoglu, E. TOBB University of Economics and Technology - Faculty of Science and Letters - Department of Mathematics, Turkey
Abstract :
The stability conditions of equilibrium points of the population model X_t+1 = λX_t f(X_t-3) with and without Allee effects are investigated. It is assumed that the Allee effect occurs at low population density. Analysis and numerical simulations show that Allee effects have both stabilizing and destabilizing effects on population dynamics with delay.
Keywords :
Stability , Allee effect , Population model , Equilibrium point , Difference equation , Time delay.
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
