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Yazara göre Matematik ve Fen Bilimleri Eğitimi Bölümü listeleme

Yazar "48727" için Matematik ve Fen Bilimleri Eğitimi Bölümü listeleme

Toplam kayıt 22, listelenen: 1-20

Sonraki Sayfa

Bağışıklık sistemi etkisi altında tümör büyümesinin modellenmesi

Senol Kartal (2014)

Bu çalışmada, tümör-bağışıklık sistemi etkileşimini tanımlamak için tam değer fonksiyonlu diferansiyel denklem sisteminden oluşan bir matematiksel model kurulmuştur. Sistem, Kuznetsov ve arkadaşlarının tümör büyümesi için ...
Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system

Ercan Balcı; Senol Kartal; Ilhan Ozturk (EDP Sciences, 2021)

In this paper, we analyze the dynamical behavior of the delayed fractional-order tumor model with Caputo sense and discretized conformable fractional-order tumor model. The model is constituted with the group of nonlinear ...
Computation of eigenvalues of sturm-liouville problems using homotopy perturbation method

Atay, Mehmet Tarık; Kartal, Şenol (Freund publıshıng house ltd, 2010)

In this paper, a recently proposed analytical approximation technique, namely Homotopy Perturbation Method (HPM) is presented to compute eigenvalues of second and fourth order Sturm-Liouville problems. These types of ...
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 ...
Conformable kesirsel mertebeden tam değer fonksiyonlu lojistik modelin kararlılık ve çatallanma analizi

Kartal, Şenol; Kaya, Güven (2020)

Bu çalışmada, conformable kesirsel mertebeden tam değer fonksiyonlu lojistik model ele alınmıştır. Modele tam değer fonksiyonlarının kullanılmasına dayalı bir ayrıklaştırma işlemi uygulanılarak bir fark denklem sistemi ...
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 ...
Dynamical analysis of discretized Logistic model with Caputo-Fabrizio fractional derivative

Karakaya, Hatice; Öztürk, İlhan; Gürcan, Fuat; Kartal, Şenol (2021)

In this paper we consider a fractional order Logistic model with Caputo-Fabrizio fractional derivative. By applying two-step Adams-Bashforth scheme, we obtain a system of difference equations. By using the SchurCohn ...
Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative

Balcı, Ercan; Öztürk, İlhan; Kartal, Şenol (Chaos, Solitons & Fractals, 2019-06-01)

In this paper, tumor-immune system interaction has been considered by two fractional order models. The first and the second model consist of system of fractional order differential equations with Caputo and conformable ...
Dynamics of a plant-herbivore model with differential-difference equations

Kartal, Şenol (Taylor & Francıs AS, 2016-05-01)

This paper studies the behavior of a plant–herbivore model including both differential and difference equations. To analyze global behavior of the model, we consider the solution of the system in a certain subinterval ...
Fark denklem sistemleriyle oluşturulmuş ot-otçul modelinin çatallanma analizi

Kartal, Şenol (2018)

Bu çalışmada, fark denklem sistemiyle oluşturulmuş bir ot-otçul matematiksel modeli göz önüne alınmıştır. Center Manifold teoremi kullanılarak sistemde Neimark Sacker çatallanmasının oluşması için gerekli olan özdeğer eşliği, ...
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 ...
Fractional order turbidostat model with the discrete delay of digestion

Ercan Balcı; Senol Kartal; Ilhan Ozturk (Springer India, 2020)

In this paper, we consider the turbidostat system with fractional delayed differential equations. Stability of the unique positive equilibrium point of the systems with and without delay are investigated. We prove the ...
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 ...
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 ...
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 bifurcation analysis in a host–parasitoid model with Hassell growth function

Kartal, Şenol; Kangalgil, Figen (SpringerOpen, 2018-12-04)

In this paper, a discrete-time host–parasitoid model with Hassell growth function for the host is considered. The sufficient conditions for the existence of the equilibrium points are obtained and a local stability ...
Stability and bifurcation analysis of a mathematical model for tumor-immune interaction with piecewise constant arguments of delay

Kartal, Şenol; Gürcan, Fuat; Öztürk, İlhan; Bozkurt, Fatma (Elsevier, 2014-06-01)

In this paper, we propose and analyze a Lotka–Volterra competition like model which consists of system of differential equations with piecewise constant arguments of delay to study of interaction between tumor cells and ...