Ufuktepe, Ünal

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Profile URL
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
Status
Former Staff
Website
ORCID ID
0000-0002-7903-6385
Scopus Author ID
55961498200
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID
ECF-6759-2022

Sustainable Development Goals

NO POVERTY1
NO POVERTY
0
Research Products
ZERO HUNGER2
ZERO HUNGER
0
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GOOD HEALTH AND WELL-BEING3
GOOD HEALTH AND WELL-BEING
0
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QUALITY EDUCATION4
QUALITY EDUCATION
0
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GENDER EQUALITY5
GENDER EQUALITY
0
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CLEAN WATER AND SANITATION6
CLEAN WATER AND SANITATION
0
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AFFORDABLE AND CLEAN ENERGY7
AFFORDABLE AND CLEAN ENERGY
0
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DECENT WORK AND ECONOMIC GROWTH8
DECENT WORK AND ECONOMIC GROWTH
0
Research Products
INDUSTRY, INNOVATION AND INFRASTRUCTURE9
INDUSTRY, INNOVATION AND INFRASTRUCTURE
0
Research Products
REDUCED INEQUALITIES10
REDUCED INEQUALITIES
0
Research Products
SUSTAINABLE CITIES AND COMMUNITIES11
SUSTAINABLE CITIES AND COMMUNITIES
0
Research Products
RESPONSIBLE CONSUMPTION AND PRODUCTION12
RESPONSIBLE CONSUMPTION AND PRODUCTION
0
Research Products
CLIMATE ACTION13
CLIMATE ACTION
0
Research Products
LIFE BELOW WATER14
LIFE BELOW WATER
0
Research Products
LIFE ON LAND15
LIFE ON LAND
2
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PEACE, JUSTICE AND STRONG INSTITUTIONS16
PEACE, JUSTICE AND STRONG INSTITUTIONS
0
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PARTNERSHIPS FOR THE GOALS17
PARTNERSHIPS FOR THE GOALS
0
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Documents

28

Citations

137

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Documents

8

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11

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Scholarly Output

15

Articles

9

Views / Downloads

2/14

Supervised MSc Theses

0

Supervised PhD Theses

2

WoS Citation Count

52

Scopus Citation Count

74

Patents

0

Projects

0

WoS Citations per Publication

3.47

Scopus Citations per Publication

4.93

Open Access Source

7

Supervised Theses

2

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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Now showing 1 - 10 of 15
  • 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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    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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    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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    Conference Object
    Citation - WoS: 1
    Citation - Scopus: 1
    A Density Dependent Host-Parasitoid Model With Allee and Refuge Effects
    (Springer Int Publishing Ag, 2016) Külahçioğlu, Burçin; Ufuktepe, Unal
    A discrete-time density dependent model is studied by Sophia et al. in [3]. In this paper, we use this model and try to develop it by adding Allee and Refuge effects. With Allee Effect the intraspecific cooperation, with Refuge Effect environment heterogeneity are taken into account. We make the stability analysis of the resulting models together with some numerical simulations.
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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
    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: 21
    Citation - Scopus: 26
    Stability and Invariant Manifolds of a Generalized Beddington Host-Parasitoid Model
    (Taylor & Francis Ltd, 2013) Kapcak, Sinan; Ufuktepe, Unal; Elaydi, Saber
    We will investigate the stability and invariant manifolds of a new discrete host-parasitoid model. It is a generalization of the Beddington-Nicholson-Bailey model. Our study establishes analytically, for the first time, the stability of the coexistence fixed point.