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Yazar "Fuat Gurcan" için listeleme

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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 ...
Discretization of a mathematical model for tumor-ımmune system ınteraction with piecewise constant arguments

Senol Kartal; Fuat Gurcan (2014)

The present study deals with the analysis of a Lotka-Volterra model describing competition between tumor and immune cells. The model consists of differential equations with piecewise constant arguments and based on ...
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 ...
Modelling and analysis of a phytoplankton-zooplankton system with continuous and discrete time

Senol Kartal; Musa Kar; Neriman Kartal; Fuat Gurcan (TAYLOR & FRANCIS AS, 2016)

In this study, a phytoplankton–zooplankton system has been modelled using a system of differential equations with piecewise constant arguments, which represents a new approach to modelling phytoplankton– zooplankton ...
Modelling and analysis of a phytoplankton–zooplankton system with continuous and discrete time

Senol Kartal; Musa Kar; Neriman Kartal; Fuat Gurcan (TAYLOR & FRANCIS AS, 2016)

In this study, a phytoplankton–zooplankton system has been modelled using a system of differential equations with piecewise constant arguments, which represents a new approach to modelling phytoplankton– zooplankton ...
Stability and bifurcations analysis of a competition model with piecewise constant arguments

Senol Kartal; Fuat Gurcan (Wİley-blackwell, 2015-12-12)

In this paper, we investigate local and global asymptotic stability of a positive equilibrium point of system of differential equations where t ≥ 0, the parameters r1, k1, α1, α2, r2, k2, and d1 are positive, and [t] ...