Conformable Fractional Order Lotka-Volterra Predator-Prey Model: Discretization, Stability and Bifurcation

dc.contributor.author	Gürcan, F. and Kaya, G. and Kartal, S.
dc.date.accessioned	2021-04-08T12:06:44Z
dc.date.available	2021-04-08T12:06:44Z
dc.date.issued	2019
dc.identifier	10.1115/1.4044313
dc.identifier.issn	15551415
dc.identifier.uri	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85072626549&doi=10.1115%2f1.4044313&partnerID=40&md5=675f1e93caa6d92c7d5483b418b3f154
dc.identifier.uri	http://acikerisim.bingol.edu.tr/handle/20.500.12898/4053
dc.description.abstract	The purpose of this study is to discuss dynamic behaviors of conformable fractional-order Lotka-Volterra predator-prey system. First of all, the piecewise constant approximation is used to obtain the discretize version of the model then, we investigate stability, existence, and direction of Neimark-Sacker bifurcation of the positive equilibrium point of the discrete system. It is observed that the discrete system shows much richer dynamic behaviors than its fractional-order form such as Neimark-Sacker bifurcation and chaos. Finally, numerical simulations are used to demonstrate the accuracy of analytical results. © 2019 by ASME.
dc.language.iso	English
dc.source	Journal of Computational and Nonlinear Dynamics
dc.title	Conformable Fractional Order Lotka-Volterra Predator-Prey Model: Discretization, Stability and Bifurcation

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