Matematik Bölümü Bildiri / Sunu / Poster Koleksiyonuhttps://hdl.handle.net/20.500.12418/5342024-03-29T04:57:02Z2024-03-29T04:57:02ZAnalyzing Period-Doubling Bifurcation and Stability for a Discrete-Time Prey- Predator Model with Allee EffectÖztürk, NihalKangalgil, FigenTopsakal, Nilüferhttps://hdl.handle.net/20.500.12418/134442023-04-11T00:00:41Z0013-01-01T00:00:00ZAnalyzing Period-Doubling Bifurcation and Stability for a Discrete-Time Prey- Predator Model with Allee Effect
Öztürk, Nihal; Kangalgil, Figen; Topsakal, Nilüfer
In this study, the qualitative behavior of a discrete time prey-predator model with Allee effect in prey
population is discussed. By applying the Euler scheme method to the continuous model in [9], the discretetime
model is obtained. First, the existence of the fixed points and their topological classiffications are
analyzed algebraically. Then, the conditions of existence for period-doubling bifurcation arising from
coexistence fixed point with the help of center manifold theorem are investigated. Finally, numerical
simulations are given to support theorical finding.
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