Ufuktepe, Ünal

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https://hdl.handle.net/20.500.14365/7212
Name Variants
Ufuktepe, Un̈al
Ufuktepe, Unal
Ufuktepe, Ü.
Ufuktepe, U.
Job Title
Email Address
unal.ufuktepe@ieu.edu.tr
Main Affiliation
02.02. Mathematics
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Former Staff
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ORCID ID
0000-0002-7903-6385
Scopus Author ID
55961498200
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Google Scholar ID
WoS Researcher ID
ECF-6759-2022

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INDUSTRY, INNOVATION AND INFRASTRUCTURE
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DECENT WORK AND ECONOMIC GROWTH
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LIFE BELOW WATER
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QUALITY EDUCATION
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PEACE, JUSTICE AND STRONG INSTITUTIONS
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REDUCED INEQUALITIES
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Scholarly Output

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Supervised PhD Theses

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WoS Citation Count

52

Scopus Citation Count

74

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3.47

Scopus Citations per Publication

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JournalCount
Advances in Dıfference Equatıons3
Applıed Mathematıcs And Computatıon2
Computatıonal Scıence And Its Applıcatıons - Iccsa 2016, Pt I1
Computatıonal Scıence And Its Applıcatıons - Iccsa 2016, Pt Iıı1
Journal of Bıologıcal Dynamıcs1
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  • Thumbnail Image
    Doctoral Thesis
    Population Dynamics With Allee and Refuge Effects
    (İzmir Ekonomi Üniversitesi, 2019) Külahçioğlu, Burçin; Ufuktepe, Ünal
    Allee ve sığınak etkileri doğada gözlemlenebilen mekanizmalardır. Bu etkilerin popülasyon modellerine dahil edilmesi, daha fazla biyolojik sürecin hesaba katılmasına imkân verir ve modelin doğayı daha iyi temsil etmesini sağlar. Bu tezin temel amacı daha gerçekçi popülasyon modelleri oluşturmak ve bu modelleri analiz ederek popülasyonların gelecekteki davranışları hakkında bilgi edinmektir. Bu tezde, daha önceden çalışılmış konakçı-parazitoid ve av-avcı modellerine sığınak etkisi ve Allee etkisi eklenerek kesikli-zaman popülasyon modelleri oluşturulmuştur. Pozitif sabit noktaların varlığı gösterilmiş ve kararlılık analizleri yapılmıştır. Modellerin bazıları için global davranış incelenmiştir. Nümerik simülasyonlar ve dallanma diyagramları, sığınak ve Allee mekanizmalarının sistem üzerindeki etkisini doğrulamaktadır.
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    Article
    Citation - WoS: 3
    Citation - Scopus: 6
    Stability and Invariant Manifold for a Predator-Prey Model With Allee Effect
    (Springer International Publishing Ag, 2013) Ufuktepe, Unal; Kapcak, Sinan; Akman, Olcay
    Predator-prey models are similar to host-parasite and host-parasitoid models. We investigate the stability and invariant manifolds of a discrete predator-prey model by using center manifold theory which is not addressed in Celik and Duman (Chaos Solitons Fractals 40: 1956-1962, 2009), and Wang et al. (Ecol. Complex. 8: 81-85, 2011).
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    Article
    Citation - Scopus: 6
    Stability Analysis of the Beddington Model With Allee Effect
    (Natural Sciences Publishing Co., 2015) Ufuktepe U.; Kapçak S.; Akman, Olcay
    We investigate the stability of the equilibria and the invariant manifolds of the host-parastoid model due to Beddington, Free, and Lawton [2] subject to the Allee effect. © 2015 NSP.
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    Conference Object
    Dynamical Behavior of a Cooperation Model With Allee Effect
    (Springer International Publishing Ag, 2016) Ufuktepe, Unal; Külahçioğlu, Burçin; Yuce, Gizem
    Mutualism is an interaction between two or more species, where species derive a mutual benefit. We study the model of M.R.S. Kulenovic and M. Nurkanovic [7] by adding one of the most best-understood mechanism of Allee effect to that system which is called mate-finding. In this paper, we interpret mate-limitation of Allee effect between mutualistic species from mathematical and ecological points of view and stability analysis of the new model.
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    Article
    Citation - WoS: 5
    Citation - Scopus: 11
    Stability Analysis of a Host Parasite Model
    (Springer International Publishing Ag, 2013) Ufuktepe, Unal; Kapcak, Sinan
    Host parasite models are similar to host parasitoid models except that the parasite does not necessarily kill the host. Leslie/Gower model (Leslie and Gower in Biometrika 47(3/4):219-234, 1960) played a historical role in ecology. We consider the stability of Misra and Mitra's model (Misra and Mitra in Comput. Math. Appl. 52: 525-538, 2006). We study this system analytically and improve the results of Misra and Mitra (Comput. Math. Appl. 52: 525-538, 2006).
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    Article
    Citation - WoS: 5
    Citation - Scopus: 5
    Stability Analysis of a Prey Refuge Predator-Prey Model With Allee Effects
    (Indian Acad Sciences, 2019) Ufuktepe, Ünal; Külahçioğlu, Burçin; Akman, Olcay
    We constructed a discrete-time predator-prey model by adding prey refuge and Allee effects (predator saturation on prey and mate limitation on predator) to an earlier prey-predator model and examined its dynamics. We show the existence of positive fixed points and study the stability properties. The numerical simulations and bifurcation diagrams verify the impact of refuge and the Allee mechanism on the system.
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    Article
    Unification of Probability Theory on Time Scales
    (Springeropen, 2012) Ufuktepe, Unal
    The theory of time scales was introduced by Stefan Hilger in his PhD thesis in 1988 in order to unify continuous and discrete analysis. Probability is a discipline in which appears to be many applications of time scales. Time scales approach to probability theory unifies the standard discrete and continuous random variables. We give some basic random variables on the time scales. We define the distribution functions on time scales and show their properties.
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    Article
    Generalization of Analytic Functions
    (Elsevier Science Inc, 2011) Kapcak, Sinan; Ufuktepe, Ünal
    The concept of analyticity for complex functions on time scale complex plane was introduced by Bohner and Guseinov in 2005. They developed completely delta differentiability, delta analytic functions on products of two time scales, and Cauchy-Riemann equations for delta case. In this research paper we study on continuous, discrete and semi-discrete analytic functions and developed completely nabla differentiability, nabla analytic functions on products of two time scales, and Cauchy-Riemann equations for nabla case. (C) 2011 Elsevier Inc. All rights reserved.
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    Article
    Unification of Calculus on Time Scales With Mathematica
    (Elsevier Science Inc, 2011) Ufuktepe, Ünal; Kapcak, Sinan
    In 1990 Hilger defined the Time Scale Calculus which is the unification of discrete and continuous analysis in his PhD. In 2005 Yantir and Ufuktepe showed delta derivative with Mathematica [5]. In this study we give many computations of Time Scale Calculus with Mathematica such as the numerical and symbolic computation of forward jump operator and delta derivative for a particular time scale, graphs of functions, and definite integral on a time scale. We also improve and extent the Time Scale package for symbolics computations. (C) 2011 Elsevier Inc. All rights reserved.
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    Conference Object
    Hashimoto's Thyroiditis With Petri Nets
    (Springer Verlag, 2010) Ufuktepe Ü.; YIlmaz B.
    Petri Nets (PNs)are promising tool among the various methods for modelling, analyzing and simulating biological systems. This article intents to present the basics of approach and to foster the potential role PNs could play in the development of the computational systems biology. Hashimoto's Thyroiditis is a type of autoimmune thyroid disease in which the immune system attacks and destroys the thyroid gland. The thyroid helps set the rate of metabolism, which is the rate at which the body uses energy. Hashimoto's stops the gland from making enough thyroid hormones for the body to work the way it should. It is the most common thyroid disease in the U.S. we give a PN model for Hashimoto's Thyroiditis. © 2010 Springer-Verlag Berlin Heidelberg.