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Conformable fractional order lotka–volterra predator–prey model: discretization, stability and bifurcation

Fuat Gurcan; Güven Kaya; Senol Kartal (American Society of Mechanical Engineers Digital Collection, 2019-11-01)

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 ...
Dynamical analysis of a discrete conformable fractional order bacteria population model in a microcosm

Güven Kaya; Senol Kartal; Fuat Gurcan (North-Holland, 2020-06-01)

In this paper, conformable fractional order differential equations with piecewise constant arguments are used for a modeling population density of a bacteria species in a microcosm. The discretization process of a differential ...