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Matematik ve Fen Bilimleri Eğitimi Bölümü
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Browsing Matematik ve Fen Bilimleri Eğitimi Bölümü by Subject

Browsing Matematik ve Fen Bilimleri Eğitimi Bölümü by Subject "Piecewise constant arguments"

Now showing items 1-8 of 8

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 ...
Discretization of conformable fractional differential equations by a piecewise constant approximation

Kartal, Şenol; Gürcan, Fuat (Taylor & Francis, 2019-09-02)

In this paper, a conformable fractional-order logistic differential equation including both discrete and continuous time is taken into account. By using a piecewise constant approximation, a discretization method which ...
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 ...
Flip and Neimark–Sacker bifurcation in a differential equation with piecewise constant arguments model

Kartal, Şenol (Taylor & Francıs AS, 2017-04-04)

In this paper, a differential equation with piecewise constant arguments model that describes a population density of a bacteria species in a microcosm is considered. The discretization process of a differential equation ...
Global behaviour of a predator-prey like model with piecewise constant arguments

Senol Kartal; Gurcan Fuat (TAYLOR & FRANCIS AS, 2015-08-01)

The present study deals with the analysis of a predator–prey like model consisting of system of differential equations with piecewise constant arguments. A solution of the system with piecewise constant arguments leads to ...
Mathematical modeling and analysis of tumor-immune system interaction by using Lotka-Volterra predator-prey like model with piecewise constant arguments

Kartal, Şenol (Periodicals of Engineering and Natural Sciences, 2014-04-01)

In this study, we present a Lotka-Volterra predator-prey like model for the interaction dynamics of tumor-immune system. The model consists of system of differential equations with piecewise constant arguments and based ...
Multiple bifurcations in an early brain tumor model with piecewise constant arguments

Senol Kartal (World Scientific Publishing Company, 2018-05-15)

In this paper, a differential equation with piecewise constant arguments modeling an early brain tumor growth is considered. The discretization process in the interval t ∈ [n, n+1) leads to two-dimensional discrete ...
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] ...