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
From page
751
To page
765
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
Record number
2650386
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