Browsing by Author "Akman, Olcay"

Now showing 1 - 3 of 3

Citation - WoS: 5
Citation - Scopus: 5
Stability Analysis of a Prey Refuge Predator-Prey Model With Allee Effects
(Indian Acad Sciences, 2019) Ufuktepe, Ünal; Külahçioğlu, Burçin; Akman, Olcay
We constructed a discrete-time predator-prey model by adding prey refuge and Allee effects (predator saturation on prey and mate limitation on predator) to an earlier prey-predator model and examined its dynamics. We show the existence of positive fixed points and study the stability properties. The numerical simulations and bifurcation diagrams verify the impact of refuge and the Allee mechanism on the system.
Citation - Scopus: 6
Stability Analysis of the Beddington Model With Allee Effect
(Natural Sciences Publishing Co., 2015) Ufuktepe U.; Kapçak S.; Akman, Olcay
We investigate the stability of the equilibria and the invariant manifolds of the host-parastoid model due to Beddington, Free, and Lawton [2] subject to the Allee effect. © 2015 NSP.
Citation - WoS: 3
Citation - Scopus: 6
Stability and Invariant Manifold for a Predator-Prey Model With Allee Effect
(Springer International Publishing Ag, 2013) Ufuktepe, Unal; Kapcak, Sinan; Akman, Olcay
Predator-prey models are similar to host-parasite and host-parasitoid models. We investigate the stability and invariant manifolds of a discrete predator-prey model by using center manifold theory which is not addressed in Celik and Duman (Chaos Solitons Fractals 40: 1956-1962, 2009), and Wang et al. (Ecol. Complex. 8: 81-85, 2011).