Academic Titles

  • 2019

      DOÇENT

    NEVŞEHİR HACI BEKTAŞ VELİ ÜNİVERSİTESİ EĞİTİM FAKÜLTESİ

  • 2019 2014

      DOKTOR ÖĞRETİM ÜYESİ

    NEVŞEHİR HACI BEKTAŞ VELİ ÜNİVERSİTESİ EĞİTİM FAKÜLTESİ

  • 2014 2009

      ARAŞTIRMA GÖREVLİSİ

    NEVŞEHİR ÜNİVERSİTESİ FEN BİLİMLERİ ENSTİTÜSÜ

Education

  • Doktora 2014

    Tümör bağışıklık dinamiğinin fark denklem sistemleriyle modellenmesi ve modelin kararlılık analizi  "

    ERCİYES ÜNİVERSİTESİ FEN BİLİMLERİ ENSTİTÜSÜ MATEMATİK (DR) 

  • Yüksek Lisans 2009

    İkinci ve dördüncü dereceden Sturm-Liouville tipinde iki noktalı sınır değer problemlerinin özdeğerlerinin varyasyonel iterasyon ve homotopi pertürbasyon yöntemleriyle hesaplanması  "

    NİĞDE ÜNİVERSİTESİ FEN BİLİMLERİ ENSTİTÜSÜ MATEMATİK (YL) (TEZLİ) 

  • Lisans 2007

    NİĞDE ÜNİVERSİTESİ FEN-EDEBİYAT FAKÜLTESİ MATEMATİK BÖLÜMÜ MATEMATİK PR. (İÖ)

2015-2016 Önlisans Matematik
2015-2016 Önlisans Matematik
2015-2016 Önlisans Matematik
2017-2018 Lisans İstatistik ve Olasılık II
2017-2018 Lisans Analiz III
2017-2018 Lisans Analiz I
2017-2018 Lisans Okul Deneyimi
2017-2018 Lisans Genel Matematik I
2017-2018 Lisans Topluma Hizmet Uygulamaları
2017-2018 Lisans Diferansiyel Denklemler
2017-2018 Lisans Genel Matematik II
2017-2018 Lisans Analiz II
2017-2018 Lisans İstatistik ve Olasılık I
2017-2018 Lisans Sayısal Analiz
2016-2017 Lisans Geometri
2016-2017 Lisans Matematik II
2016-2017 Lisans Matematik II
2016-2017 Lisans Matematik II
2016-2017 Lisans Matematik II
2016-2017 Lisans Analiz II
2016-2017 Lisans Soyut Matematik
2016-2017 Lisans Matematik I
2016-2017 Lisans Karmaşık Sayılar
2016-2017 Lisans İstatistik
2015-2016 Lisans Matematik II
2015-2016 Lisans Genel Matematik II
2015-2016 Lisans Matematik I
2015-2016 Lisans Matematik I
2015-2016 Lisans Matematik I
2015-2016 Lisans Genel Matematik I
2015-2016 Lisans Matematik II
2015-2016 Lisans Matematik II
2015-2016 Lisans Matematik II
2014-2015 Lisans Temel Matematik II
2014-2015 Lisans Genel Matematik II

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Predator incited fear weakened by infertility of prey in a prey-predator model with memory effect

BALCI ERCAN,KARAKAYA HATİCE,KARTAL ŞENOL,ÖZTÜRK İLHAN, 2025

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: International Journal of Biomathematics Volume: - Issue: - DOI: 10.1142/S1793524524501353 ISSN: 1793-7159

Qualitative behavior of discrete-time Caputo–Fabrizio logistic model with Allee effect

KARAKAYA HATİCE,KARTAL ŞENOL,ÖZTÜRK İLHAN, 2024

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: International Journal of Biomathematics Volume: 17 Issue: - DOI: 10.1142/S1793524523500390 ISSN: 1793-7159

Complex dynamics of COVID-19 mathematical model on Erdős–Rényi network

KARTAL NERİMAN, KARTAL ŞENOL, 2023

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: International Journal of Biomathematics Volume: 16 Issue: 5 DOI: 10.1142/S1793524522501108 ISSN: 1793-7159

Caputo and Conformable fractional order guava model for biological pest control:Discretization, stability and bifurcation

KARTAL ŞENOL, 2023

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: Journal of Computational and Nonlinear Dynamics Volume: - Issue: - DOI: - ISSN: 1555-1423

Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system

BALCI ERCAN,KARTAL ŞENOL,ÖZTÜRK İLHAN, 2021

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: Math. Model. Nat. Phenom. Volume: 16 Issue: 3 DOI: 10.1051/mmnp/2020055 ISSN: 0973-5348

Stability and bifurcation analysis in a host–parasitoid model with Hassell growth function

KANGALGİL FİGEN,KARTAL ŞENOL, 2018

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: Advances in Difference Equations Volume: 2018 Issue: 1 DOI: 10.1186/s13662-018-1692-x ISSN: 1687-1847

Discretization of conformable fractional differential equations by a piecewise constant approximation

KARTAL ŞENOL,GÜRCAN FUAT, 2018

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS Volume: - Issue: - DOI: 10.1080/00207160.2018.1536782 ISSN: 0020-7160

Multiple bifurcations in an early brain tumor model with piecewise constant arguments

KARTAL ŞENOL, 2018

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: International Journal of Biomathematics Volume: 11 Issue: 4 DOI: 10.1142/S1793524518500559 ISSN: 1793-5245

Flip and Neimark–Sacker bifurcation in a differential equation with piecewise constant arguments model

KARTAL ŞENOL, 2017

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: Journal of Difference Equations and Applications Volume: 23 Issue: 4 DOI: 10.1080/10236198.2016.1277214 ISSN: 1023-6198

Modelling and analysis of a phytoplankton zooplankton system with continuous and discrete time

KARTAL ŞENOL,KAR MUSA,KARTAL NERİMAN,GÜRCAN FUAT, 2016

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: Mathematical and Computer Modelling of Dynamical Systems Volume: 22 Issue: 6 DOI: 10.1080/13873954.2016.1204323 ISSN: -

Stability and bifurcations analysis of a competition model with piecewise constant arguments

KARTAL ŞENOL,GÜRCAN FUAT, 2015

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: Mathematical Methods in The Applied Sciences Volume: 38 Issue: 9 DOI: 10.1002/mma.3196 ISSN: -

Global behaviour of a predator prey like model with piecewise constant arguments

KARTAL ŞENOL,GÜRCAN FUAT, 2015

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: Journal of Biological Dynamics Volume: 9 Issue: 1 DOI: 10.1080/17513758.2015.1049225 ISSN: -

Computation of Eigenvalues of Sturm Liouville Problems Using Homotopy Perturbation Method

ATAY MEHMET TARIK,KARTAL ŞENOL, 2010

Uluslararası Hakemli Özgün MakaleIndex: SCI-Expanded Publication Place: Int. Journal of Nonlinear Sciences and Numerical Simulation Volume: 11 Issue: 2 DOI: 10.1515/IJNSNS.2010.11.2.105 ISSN: 2191-0294

Dynamical analysis of discretized Logistic model with Caputo-Fabrizio fractional derivative

KARAKAYA HATİCE, ÖZTÜRK İLHAN, KARTAL ŞENOL, GÜRCAN FUAT, 2021

Uluslararası Hakemli Özgün MakaleIndex: ZOOLOGICAL RECORD Publication Place: Computational Ecology and Software Volume: 11 Issue: 1 DOI: - ISSN: 2220-721X

Mathematical modeling and analysis of tumor immune system interaction by using Lotka Volterra predator prey like model with piecewise constant arguments

KARTAL ŞENOL, 2014

Uluslararası Hakemli Özgün MakaleIndex: BASE (Bielefeld Academic Search Engine): Publication Place: Periodicals of Engineering and Natural Sciences Volume: 2 Issue: 1 DOI: 10.21533/pen.v2i1.36 ISSN: -

Bağışıklık Sistemi Etkisi Altında Tümör Büyümesinin Modellenmesi

KARTAL ŞENOL, 2014

Ulusal Hakemli Özgün MakaleIndex: DergiPark Publication Place: Nevşehir Bilim ve Teknoloji Dergisi Volume: 3 Issue: 1 DOI: 10.17100/nevbiltek.54364 ISSN: -

A discrete fractional order cournot duopoly game model with relative profit delegation: Stability, bifurcation, chaos, 0-1 testing and control

KARTAL ŞENOL, 2025

Uluslararası Hakemli Özgün MakaleIndex: SCI Publication Place: Journal of Computational and Applied Mathematics Volume: 457 Issue: 116284 DOI: 10.1016/j.cam.2024.116284 ISSN: 1879-1778

Bifurcation and Chaos in a Fractional-Order Cournot Duopoly Game Model on Scale-Free Networks

GÜRCAN FUAT,KARTAL NERİMAN,KARTAL ŞENOL, 2024

Uluslararası Hakemli Özgün MakaleIndex: SCI Publication Place: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering Volume: 34 Issue: 8 DOI: 10.1142/S0218127424501037 ISSN: 1793-6551

Dynamical analysis of a discrete conformable fractional order bacteria population model in a microcosm

GÜRCAN FUAT,KAYA GÜVEN,KARTAL ŞENOL, 2020

Uluslararası Hakemli Özgün MakaleIndex: SCI Publication Place: Physica A: Statistical Mechanics and its Applications Volume: - Issue: - DOI: 10.1016/j.physa.2019.123864 ISSN: 0378-4371

Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative

BALCI ERCAN,ÖZTÜRK İLHAN,KARTAL ŞENOL, 2019

Uluslararası Hakemli Özgün MakaleIndex: SCI Publication Place: Chaos, Solitons Fractals Volume: 123 Issue: - DOI: 10.1016/j.chaos.2019.03.032 ISSN: 0960-0779

Conformable fractional order Lotka-Volterra predator-prey model: Discretization, stability and bifurcation

GÜRCAN FUAT,KAYA GÜVEN,KARTAL ŞENOL, 2019

Uluslararası Hakemli Özgün MakaleIndex: SCI Publication Place: Journal of Computational and Nonlinear Dynamics Volume: 14 Issue: 11 DOI: doi.org/10.1115/1.4044313 ISSN: 1555-1423

Stability and bifurcation analysis of a mathematical model for tumor immune interaction with piecewise constant arguments of delay

GÜRCAN FUAT,KARTAL ŞENOL,ÖZTÜRK İLHAN,BOZKURT FATMA, 2014

Uluslararası Hakemli Özgün MakaleIndex: SCI Publication Place: Chaos, Solitons Fractals Volume: 68 Issue: - DOI: 10.1016/j.chaos.2014.08.001 ISSN: 0960-0779

Discretization of a Mathematical Model for Tumor Immune System Interaction with Piecewise Constant Arguments

KARTAL ŞENOL,GÜRCAN FUAT, 2014

Uluslararası Hakemli Özgün MakaleIndex: Endekste taranmıyor Publication Place: Applied Mathematics and Sciences: An International Journal Volume: 1 Issue: 1 DOI: - ISSN: -

Chaos in a Three-Dimensional Cancer Model with Piecewise Constant Arguments

KARTAL ŞENOL, 2023

Ulusal Hakemli Özgün MakaleIndex: TR DİZİN Publication Place: Cumhuriyet Science Journal Volume: 44 Issue: 2 DOI: - ISSN: 2587-2680

Ayrık Zamanlı Caputo-Fabrizio Kesirsel Mertebeden Ekli Allee Etkili Lojistik Denklemin Kompleks Dinamiği

KARAKAYA HATİCE, KARTAL ŞENOL, ÖZTÜRK İLHAN, 2023

Ulusal Hakemli Özgün MakaleIndex: TR DİZİN Publication Place: Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi Volume: 39 Issue: 1 DOI: - ISSN: 1012-2354

Conformable Kesirsel Mertebeden Tam Değer Fonksiyonlu Lojistik Modelin Kararlılık ve Çatallanma Analizi

KAYA GÜVEN,KARTAL ŞENOL, 2020

Ulusal Hakemli Özgün MakaleIndex: TR DİZİN Publication Place: Bitlis Eren Üniversitesi Fen Bilimleri Dergisi Volume: - Issue: - DOI: - ISSN: 2147-3129

Fark Denklem Sistemleriyle Oluşturulmuş Ot-Otçul Modelinin Çatallanma Analizi

KARTAL ŞENOL, 2018

Ulusal Hakemli Özgün MakaleIndex: TR DİZİN Publication Place: Iğdır Üni. Fen Bilimleri Enst. Der. Volume: 8 Issue: 1 DOI: 10.21597/jist.407880 ISSN: 2146-0574

Dynamics of a plant herbivore model with differential difference equations

KARTAL ŞENOL, 2016

Uluslararası Hakemli Özgün MakaleIndex: ESCI Publication Place: Cogent Mathematics Volume: 3 Issue: 1 DOI: 10.1080/23311835.2015.1136198 ISSN: -

Fractional Order Turbidostat Model with the Discrete Delay of Digestion

BALCI ERCAN,KARTAL ŞENOL,ÖZTÜRK İLHAN, 2020

Uluslararası Hakemli Özgün MakaleIndex: Scopus Publication Place: International Journal of Applied and Computational Mathematics Volume: - Issue: - DOI: - ISSN: 2199-5796

Neimark-Sacker Bifurcation Analysis in a Population Model

Authors: KARAKAYA HATİCE, KARTAL ŞENOL

Uluslararası Özet bildiri Event Name: International E-Conference on Mathematical and Statistical Science: A Selcuk Meeting Event Dates: 20.10.2022-08.05.2025 Country: TÜRKİYE

DYNAMICAL BEHAVIORS OF A CONFORMABLE FRACTIONAL ORDER LOGISTIC MODEL

Authors: KAYA GÜVEN, KARTAL ŞENOL

Uluslararası Özet bildiri Event Name: MAS 14th INTERNATIONAL EUROPEAN CONFERENCE ON MATHEMATICS, ENGINEERING, NATURAL&MEDICAL SCIENCES Event Dates: 26.03.2021-08.05.2025 Country: MACARİSTAN

DYNAMICAL ANALYSIS OF DISCRETE TIME CAPUTO-FABRIZIO FRACTIONAL ORDER LOGISTIC MODEL WITH ALLEE EFFECT

Authors: KARAKAYA HATİCE, KARTAL ŞENOL

Uluslararası Özet bildiri Event Name: 2ND INTERNATIONAL CONGRESS ON MATHEMATICS AND GEOMETRY Event Dates: 20.05.2021-08.05.2025 Country: TÜRKİYE

MODELLING GUAVA DYNAMICS BY USING CONFORMABLE FRACTIONAL ORDER DIFFERENTIALEQUATIONS

Author: KARTAL ŞENOL

Uluslararası Özet bildiri Event Name: 10TH INTERNATIONAL "BAŞKENT" CONGRESS ON PHYSICAL, ENGINEERING, AND APPLIED SCIENCES Event Dates: 28.10.2023-30.10.2023 Country: TÜRKİYE

Discretization, Stability And Bifurcation Analysis Caputo-Fabrizio Logistic Model With Additive Allee Effect

Authors: KARAKAYA HATİCE, KARTAL ŞENOL

Uluslararası Özet bildiri Event Name: 4th International Conference on Applied Engineering and Natural Sciences Event Dates: 10.11.2022-12.11.2022 Country: TÜRKİYE

DYNAMICAL ANALYSIS OF DISCRETE TIME LOGISTIC MODEL WITH CAPUTO FABRİZİO FRACTIONAL ORDER DERIVATIVE

Authors: KARAKAYA HATİCE,KARTAL ŞENOL

Uluslararası Özet bildiri Event Name: 1. INTERNATIONAL CONGRESS ON MATHEMATICS AND GEOMETRY Event Dates: 09.12.2020-09.12.2020 Country: -

Bifurcation analysis of a discrete population model with conformable fractional derivative

Authors: KAYA GÜVEN,KARTAL ŞENOL

Uluslararası Özet bildiri Event Name: 3rd International Conference on Pure and Applied Mathematics (ICPAM-VAN 2020) Event Dates: 03.09.2020-05.09.2020 Country: -

Dynamical behaviour of fractional order tumor model with Caputo and conformablefractional derivative

Authors: BALCI ERCAN,ÖZTÜRK İLHAN,KARTAL ŞENOL

Uluslararası Özet bildiri Event Name: International Conference on Mathematics and Mathematics Education Event Dates: 11.07.2019-13.07.2019 Country: TÜRKİYE

Dynamical Analysis of Conformable Fractional Order Lotka-Volterra Predator-Prey Model

Authors: KAYA GÜVEN,KARTAL ŞENOL

Uluslararası Özet bildiri Event Name: MAS INTERNATIONAL CONFERENCEON MATHEMATICS-ENGINEERING-NATURALMEDICAL SCIENCES-V Event Dates: 02.05.2019-05.05.2019 Country: TÜRKİYE

Flip Bifurcation Analysis in a Discrete Bacteria Population Model

Authors: BALCI ERCAN,KARTAL ŞENOL

Uluslararası Özet bildiri Event Name: 5Th INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN PURE AND APPLIED MATHEMATICS (ICRAPAM 2018) Event Dates: 23.07.2018-27.07.2018 Country: TÜRKİYE

Tümör matematiksel modelinde flip çatallanma analizi

Author: KARTAL ŞENOL

Ulusal Özet bildiri Event Name: 13. Ankara Matematik Günleri Event Dates: 27.04.2018-28.04.2018 Country: TÜRKİYE

Ot-Otçul Matematiksel Modelinin Kararlılık ve Çatallanma Analizi

Author: KARTAL ŞENOL

Ulusal Özet bildiri Event Name: 30. Ulusal Matematik Sempozyumu Event Dates: 06.09.2017-09.09.2017 Country: TÜRKİYE

Tümör Büyümesinin Kesikli Zamanlı Dinamik Sistemlerle Modellenmesi

Authors: KARTAL ŞENOL,GÜRCAN FUAT

Ulusal Özet bildiri Event Name: 9. Ankara Matematik Günleri Event Dates: 12.06.2014-13.06.2014 Country: TÜRKİYE

Modeling tumor growth using differential equations with piecewise constant arguments

Authors: KARTAL ŞENOL,GÜRCAN FUAT

Uluslararası Özet bildiri Event Name: Karatekin Mathematics Days 2014 Event Dates: 11.06.2014-13.06.2014 Country: -

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