CURRICULUM VITA
Özlem AK GÜMÜŞ
PERSONAL INFORMATION ADDRESS
Adiyaman University
Department of Mathematics
Adiyaman, TURKEY
CONTACT : Work: (+90) 416 223 3800-4003
Email: akgumus@adiyaman.edu.tr
Although Dr. Özlem AK GÜMÜS is originally from Konya, she was born in Bingöl in 1980. Dr. Ak Gümüş completed his primary school in Bartın's Kurucaşile district, her secondary school in Nevşehir's Acıgöl district, and her high school education in Konya's Akşehir district. In 2001, Dr. Ak Gümüş graduated from Selçuk University Faculty of Science and Letters Department of Mathematics, which entered 1997, as the ranking first in department. Dr. Gümüş completed his master's degree in 2005 at Selçuk University, Institute of Science, Department of Mathematics, with his thesis titled "Methods on the Stability of Scalar Equations". Dr. Ak Gümüş entered doctorate program in 2006; and completed it as the ranking first at Selçuk University Institute of Science and Technology in 2011 with her thesis titled "Allee Effect on the Stability". Between 2002 and 2011, Dr. Ak Gümüş worked as a Research Assistant at Selçuk University, Faculty of Science and Letters, Department of Mathematics. During this period, Dr. Ak Gümüş gave practical lessons Topology, Abstract Mathematics, Analysis in the Mathematics Department of the Faculty of Arts and Sciences; General Mathematics in the Department of Chemistry and in the Electrical-Electronics Engineering and Geological Engineering Departments. In the same year, Dr. Ak Gümüş started working as Assistant Professor at Adıyaman University, Faculty of Science and Letters, Department of Mathematics, Department of Applied Mathematics. Continuing her research in the fields of Linear-Nonlinear Difference and Differential Equations, Mathematical Biology, Mathematical Modeling, Dr. Ak Gümüş currently continues her studies as an Associate Professor at the same university.
Dr. Ak Gümüş is married; and the mother of two boys, ages 13 and 18.
EDUCATION
BSc., Selcuk University Faculty of Sciences Department of Mathematics, Konya, 2001. (1997-2001 “Department first degree with honor”)
MSc., Selcuk University Institute of Sciences Department of Mathematics, Konya, 2005.( with high honor)
Ph.D., Selcuk University Institute of Sciences Department of Mathematics, Konya, 2011. (2006-2011 “Ph.D. program first prize with high honor”)
VOCATIONAL EXPERIENCE
2002-2011, Research Assistant, Selcuk University, Faculty of Science, Department of Mathematics
2011-2021 Assist. Prof. Dr., Adiyaman University, Faculty of Science and Arts, Department of Mathematics
2021-..., Assoc. Prof. Dr. Adiyaman University, Faculty of Science and Arts, Department of Mathematics
THESES
M.Sc. Thesis “Methods on the stability of scalar equations”, Higher Education Council National Thesis Center, 2005.
Ph.D. Thesis, “Allee effect on stability”, Higher Education Council National Thesis Center, 2011.
OTHER POSITION IN UNIVERSITY
Research Assistant, SELCUK UNIVERSITY, Applied Lesson Teaching, 2002-2010.
Research Assistant, SELCUK UNIVERSITY, Academic Consultancy, 2004-2008.
Assist. Prof. Dr., ADIYAMAN UNIVERSITY, Academic Consultancy, 2012-2015.
Assist. Prof. Dr., ADIYAMANUNIVERSITY, Chairman Deputy of the Topology Discipline, 2012-2018.
Assist. Prof. Dr., ADIYAMANUNIVERSITY, Mevlana / Erasmus Department Coordinator, 2013-2018.
Assoc. Prof. Dr., ADIYAMAN UNIVERSITY, Academic Consultancy, 2020-2021.
Assoc. Prof. Dr., ADIYAMAN UNIVERSITY, Academic Consultancy, 2023-2024.
PRIZES AND SCHOLARSHIPS
Ak Gümüş, Ö. Faculty of Science and Arts, Department of Mathematics, First Place in Undergraduate, 2001
Ak Gümüs, Ö. “Ph.D. program first prize”, T.C. SELCUK UNIVERSITY, Institute of Sciences, KONYA, 2011.
Ak Gümüs, Ö. "TÜBİTAK Publication Incentive Award”, Applied Mathematics and Computation”, 2012.
Ak Gümüs, Ö. "TÜBİTAK Publication Incentive Award”, Advances in Difference Equations”, 2015.
Ak Gümüs, Ö. "TÜBİTAK Publication Incentive Award”, Hacettepe Journal of Mathematics and Statistics”, 2023.
RESEARCH AREAS
Linear-nonlinear difference and differential equations
Mathematical Biology
Mathematical Modeling
Population dynamics, Stability Theory, Bifurcation Theory
Mathematical Analysis
Fractional Derivatives
COMPUTER SKILLS
Maple, Matlab, Mathematica
EDİTORIAL BOARD SCIENTIFIC MEMBERSHIPS
Editorial Board Member --International Journal of Systems Science and Applied Mathematics(IJSSAM)-(2018-2022)
Editorial Board Member -Computer Simulation in Application-(2018-...)
SUPERVISED THESES
Master of Science, B.S. Bilgi, “Global stability analysis of difference-time population models”, ADIYAMAN UNIVERSITY, 2016.
Master of Science, Y. Yalçın, "Hopf Bifurcation Analysis in delayed differential equations", ADIYAMAN UNIVERSITY, 2019.
Master of Science, S. Acer, “Stability and bifurcation analysis of the SIS epidemic model”, ADIYAMAN UNIVERSITY, 2020.
Master of Science, N. Kılınç, "Qualitative analysis of the epidemic disease models with treatment", ADIYAMAN UNIVERSITY, 2023.
JURY MEMBER
Master Thesis Defense, Adıyaman University, Adiyaman, 2012.
Master Thesis Defense, Cumhuriyet University, Sivas, 2015.
Master Thesis Defense, Bülent Ecevit University, Zonguldak, 2018
Master Thesis Defense, Adıyaman University, Adiyaman, 2019.
PROJECTS
Ak Gümüş Ö., Allee effect on stability, Research Project, Selcuk University, BAP Coordinator, 2009-2011. (Researcher)
Ak Gümüş Ö., The dynamics of the host-parasitoid model depending on the Maynard-Smith growth form, Research Project, Selcuk University BAP Coordinator, 2016-2018. (Executive)
JOURNALS FOR SCIENTIFIC REFEREEING AND INDEXES
Nonlinear Dynamics (SCI)
International Journal of Biomathematics (SCI-EXP)
Mathematical Reviews (AREA INDEX)
Entomologica Fennica (SCI-EXP)
The 3rd International Conference on Fuzzy Systems and Data Mining, Report Book
Cumhuriyet Science Journal (TR- INDEX)
Iranian Journal of Science and Technology Transactions A: Science (SCI-EXP)
Bitlis Eren Üniversitesi Journal of Science (EBSCO)
Fundamental Journal of Mathematics and Applications (TR- INDEX)
Miskolc Mathematical Notes (SCI-EXP)
Mathematical analysis of COVID-19 transmission, Springer Book
Journal of Applied Mathematics and Computing (SCI-EXP)
Plos One Journal (SCI-EXP)
Pamukkale University Journal of Education Faculty (TR- INDEX)
Springer Book Section
Universal Journal of Mathematics and Applications (SCOPUS)
Mathematics and Computers in Simulation (SCI)
Alexandria Engineering Journal (SCI-EXP)
Europan Journal of Pure and Applied Mathematics (ESCI)
Osmaniye Korkut Ata University Journal of the Institute of Science (TR-INDEX)
International Journal of Bifurcation and Chaos (SCI)
LESSONS TEACH
I-Applied Undergraduate Courses as Research Assistant – (2002-2010)
Mathematics I, Selcuk University, Vocational school of higher education, 2002-2004.
Mathematics II, Selcuk University, Vocational school of higher education, 2002-2004.
Topology I, Selcuk University, Faculty of Sciences, Department of Mathematics, 2004-2005.
Topology II, Selcuk University, Faculty of Sciences, Department of Mathematics, 2004-2005.
Analysis I, Selcuk University, Faculty of Sciences, Department of Chemistry, 2004-2006.
Analysis II, Selcuk University, Faculty of Sciences, Department of Chemistry, 2004-2006.
Mathematics I, Selcuk University, Engineering Faculty, Department of Geological Engineering, 2004-2005.
Mathematics II, Selcuk University, Engineering Faculty, Department of Geological Engineering, 2004-2005.
Analysis I, Selcuk University, Faculty of Sciences, Department of Mathematics, 2006-2007.
Analysis II, Selcuk University, Faculty of Sciences, Department of Mathematics, 2006-2007.
Mathematics I, Selcuk University, Engineering Faculty, Department of Geological Engineering, 2006-2007.
Mathematics II, Selcuk University, Engineering Faculty, Department of Geological Engineering, 2006-2007.
Abstract Mathematics I, Selcuk University, Faculty of Sciences, Department of Mathematics, 2007-2009.
Abstract Mathematics II, Selcuk University, Faculty of Sciences, Department of Mathematics, 2007-2009.
General Mathematics I, Selcuk University, Faculty of Sciences, Department of Chemistry, 2007-2009.
General Mathematics II, Selcuk University, Faculty of Sciences, Department of Chemistry, 2007-2009.
Mathematics III, Selcuk University, Engineering Faculty, Department of Electrical and Electronics Engineering, 2009-2010.
Mathematics IV, Selcuk University, Engineering Faculty, Department of Electrical and Electronics Engineering, 2009-2010.
II-Undergraduate Courses Taught as a Faculty Member— 2011-....
Analysis II, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2011-2012.
General Mathematics II, Adiyaman University, Faculty of Arts and Sciences, Chemistry Department, 2011-2012.
Vocational Mathematics, Adiyaman University, Technical sciences, Vocational school of higher education, Machine Program, 2011-2012.
General Mathematics II, Adiyaman University, Faculty of Arts and Sciences, Chemistry Department, 2012-2013.
Analysis I, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2012-2013.
Mathematics I, Adiyaman University, Technical sciences, Vocational school of higher education, Drilling Technology Program, 2012-2013.
General Mathematics II, Adiyaman University, Faculty of Arts and Sciences, Chemistry Department, 2012-2013.
Analysis II, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2012-2013.
Analysis I, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2013-2014.
General Mathematics I, Adiyaman University, Faculty of Arts and Sciences, Chemistry Department, 2013-2014.
Mathematics I, Adiyaman University, Technical sciences, Junior technical college, Construction Technology Program, 2013-2014.
Engineering Mathematics, Adiyaman University, Engineering Faculty, Food Engineering Department, 2013-2014.
General Mathematics II, Adiyaman University, Faculty of Arts and Sciences, Chemistry Department,2013-2014.
General Mathematics II, Adiyaman University, Faculty of Economics and Administrative Sciences, Department of Business Administration, 2013-2014.
Analysis II, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2013-2014.
Engineering Mathematics, Adiyaman University, Engineering Faculty, Food Engineering Department, 2014-2015.
Numerical Analysis I, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2014-2015.
Fourier Analysis, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2014-2015.
Numerical Analysis II, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2014-2015.
Fourier Analysis, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2015-2016.
Numerical Analysis I, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2015-2016.
Numerical Analysis II, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2015-2016.
Mathematics II, Adiyaman University, Engineering Faculty, Civil engineering Department, 2015-2016.
Fourier Analysis, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2016-2017.
Numerical Analysis I, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2016-2017.
Numerical Analysis, Adiyaman University, Engineering Faculty, Civil engineering Department, 2016-2017.
Numerical Analysis II, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics2016-2017.
Fourier Analysis, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2017-2018.
Numerical Analysis I, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2017-2018.
Numerical Analysis II, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2017-2018.
Numerical Analysis, Adiyaman University, Engineering Faculty, Civil engineering Department, 2018-2019.
Fourier Analysis, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2018-2019.
Numerical Analysis I, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2018-2019.
Numerical Analysis II, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2018-2019.
Finite difference methods, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2018-2019.
Differential Equations, Adiyaman University, Engineering Faculty, Civil engineering Department, 2019-2020.
Differential Equations and Numerical Analysis, Adiyaman University, Engineering Faculty, Civil engineering Department, 2019-2020.
Fourier Analysis, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2019-2020.
Numerical Analysis I, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2019-2020.
Numerical Analysis II, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2019-2020.
Numerical Analysis II, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2020-2021.
Nümerik Analysis I, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2022-2023.
Nümerik Analysis II, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2022-2023.
Fourier Analysis, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2022-2023.
Differential Equations, Adiyaman University, Engineering Faculty, Civil engineering Department, 2022-2023.
Nümerik Analysis I, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2023-2024.
Nümerik Analysis II, Adiyaman University, Faculty of Arts and Sciences, Department of Mathematics, 2023-2024.
Mathematics, Adiyaman University, Faculty of Pharmacy, Pharmacy Program, 2023-2024.
Diferantial Equations, Adiyaman University, Engineering Faculty, Civil engineering Department, 2023-2024.
And Completion Work I, Completion Work II for each year
III- Graduate Courses Taught as a Faculty Member— 2011-....
Applied Linear Algebra, Adiyaman University Institute of Sciences, 2012-2013.
Applied Linear Algebra, Adiyaman University Institute of Sciences, 2013-2014.
Matrix Analysis,Adiyaman University Institute of Sciences, 2013-2014.
Applied Linear Algebra, Adiyaman University Institute of Sciences, 2014-2015.
Matrix Analysis, Adiyaman University Institute of Sciences, 2014-2015.
Specialization Field Lesson, Adiyaman University Institute of Sciences, 2014-2015.
Applied Linear Algebra, Adiyaman University Institute of Sciences, 2015-2016.
Specialization Field Lesson, Adiyaman University Institute of Sciences, 2015-2016.
Difference and Differential Equation Theory, Adiyaman University Institute of Sciences, 2016-2017.
Specialization Field Lesson, Adiyaman University Institute of Sciences, 2016-2017.
Difference and Differential Equation Theory, Adiyaman University Institute of Sciences, 2017-2018.
Specialization Field Lesson, Adiyaman University Institute of Sciences, 2017-2018
Biological applications of difference and differential equations and bifurcation, Adiyaman University Institute of Sciences, 2017-2018.
Specialization Field III, Adiyaman University Institute of Sciences, 2018-2019.
Difference and Differential Equation Theory, Adiyaman University Institute of Sciences, 2018-2019.
Biological applications of difference and differential equations and bifurcation, Adiyaman University Institute of Sciences, 2018-2019.
Specialization Field IV, Adiyaman University Institute of Sciences, 2018-2019.
Thesis work I, Adiyaman University Institute of Sciences, 2018-2019.
Thesis work II, Adiyaman University Institute of Sciences, 2018-2019.
Difference and Differential Equation Theory, Adiyaman University Institute of Sciences, 2019-2020.
Biological applications of difference and differential equations and bifurcation, Adiyaman University Institute of Sciences, 2019-2020.
Specialization Field I, Adiyaman University Institute of Sciences, 2019-2020.
Specialization Field II, Adiyaman University Institute of Sciences, 2019-2020.
Specialization Field IV, Adiyaman University Institute of Sciences, 2019-2020.
Thesis work II, Adiyaman University Institute of Sciences, 2019-2020.
Seminar, Adiyaman University Institute of Sciences, 2019-2020.
Difference and Differential Equation Theory, Adiyaman University Institute of Sciences, 2020-2021.
Biological applications of difference and differential equations and bifurcation, Adiyaman University Institute of Sciences, 2020-2021.
Specialization Field I, Adiyaman University Institute of Sciences, 2020-2021.
Specialization Field II, Adiyaman University Institute of Sciences, 2020-2021.
Specialization Field III, Adiyaman University Institute of Sciences, 2020-2021.
Difference and Differential Equation Theory, Adiyaman University Institute of Sciences, 2022-2023.
Specialization Field I, Adiyaman University Institute of Sciences, 2022-2023.
Specialization Field III, Adiyaman University Institute of Sciences, 2022-2023.
Specialization Field I, Adiyaman University Institute of Sciences, 2023-2024.
Specialization Field II, Adiyaman University Institute of Sciences, 2023-2024.
And Seminar and Thesis Study Courses
ARTICLES PUBLISHED IN JOURNALS IN SCI, SCI-EXP AND WEB OF SCIENCE
Merdan H., Ak Gümüş Ö., “Stability analysis of a general discrete-time population model involving delay and Allee effects”, APPLIED MATHEMATICS AND COMPUTATION, vol.219, 1821-1832, 2012.
Ak Gümüş Ö., “Global and local stability analysis in a nonlinear discrete-time population model”, ADVANCES IN DIFFERENCE EQUATIONS, vol.299, 1-9, 2014.
Din Q. , Ak Gümüs Ö. and Khalil H.,”Neimark-Sacker bifurcation and chaotic behavior of a modified host-parasitoid model”, ZEITSCHRIFT FUR NATURFORSCHUNG, vol.72, 25-37, 2017.
Ak Gümüs Ö., Correction to: Global and Local stability analysis in a nonlinear discrete-time population model, ADVANCES IN DIFFERENCE EQUATIONS, 357, 2018.
Ak Gümüs Ö. Selvam A.G.M, Vianny D.A, Bifurcation and stability analysis of a discrete-time SIR Epidemic Model with vaccination, INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATION, Vol.17 (5), 809-820, 2019.
Ak Gümüs Ö., Acer S., Period-Doubling Bifurcation analysis and stability of epidemic model, JOURNAL OF SCIENCE AND ARTS, No. 4(49), pp. 905-914, 2019.
Ak Gümüs Ö., Yalcin Y. Stability and Hopf-Bifurcation analysis of delay prey-predator model, JOURNAL OF SCIENCE AND ARTS, No. 2(51), pp. 277-282, 2020.
Ak Gümüş Ö., “Neimark-Sacker Bifurcation and stability of a prey-predator model, MISKOLC MATHEMATICAL NOTES, vol. 21, No. 2, pp. 1–13, 2020.
Ak Gümüş Ö., Feckan M., Stability, Neimark-Sacker Bifurcation and Chaos Control for a prey-predator system with harvesting effect on predator, MISKOLC MATHEMATICAL NOTES, 2021, Vol. 22, No. 2, pp. 663–679, 2021.
Ak Gümüş Ö., Selvam A.G. M. and Dhineshbabu R., Bifurcation Analysis and Chaos Control of the Population Model with Harvest, Int. J. Nonlinear Anal. Appl., INT. J. NONLINEAR ANAL. APPL., Vol. 13, No. 1, 115-125, 2022.
Ak Gümüs Ö., Cui Q., Selvam A.G.M., Vianny, D.A. , Global stability and bifurcation analysis of a discrete time sir epidemic model, MISKOLC MATHEMATICAL NOTES, 23 (1), 193-210, 2022.
Ak Gümüs Ö., Selvam A.G.M, JANAGARAJ R., Dynamics of the Mathematical Model Related to COVID-19 Pandemic with Treatment, Thai Journal of Mathematics, Accepted, 2022.
Ak Gümüs Ö., Selvam A.G.M, Vignesh D., The Effect of Allee Factor on a nonlinear Population Model with Harvesting, Journal of Science and Arts, 22 (1),159-176, 2022.
Ak Gümüş Ö., Qualified analysis of a Prey-Predator System subject to Harvesting Effect on Prey (Submitted)
Ak Gümüş Ö., Complex dynamics of a discrete-time prey-predator system with Allee effect, Authorea Preprints, 2022.
Ak Gümüş Ö., Selvam A.G.M., Janagaraj R., Dynamics of the Mathematical Model Related to COVID-19 Pandemic with Treatment, Thai Journal of Mathematics 20 (2), 957-970, 2022.
Ak Gümüş Ö., Selvam A.G.M., Janagaraj R., Neimark-Sacker Bifurcation and control of chaotic behavior in a discrete-time plant-herbivore system, Journal of Science and Arts 22 (3), 2022.
Ak Gümüş Ö., Dynamics of a Prey-predator with Harvesting Effect on prey, Chaos Theory and Applications 4 (3), 144-151. 2022.
Ak Gümüş Ö., Bifurcation analysis and chaos control of discrete-time prey-predator model with Allee effect, Hacettepe Journal of Mathematics and Statistics, 1-17, 2023.
Ak Gümüş Ö., A study on stability, bifurcation analysis and chaos control of a discrete-time prey-predator system involving Allee effect, Journal of Applied Analysis and Computation 13 (6), 3166–3194, 2023. (This is an improved version of the article "Ak Gümüş Ö., Complex dynamics of a discrete-time prey-predator system with Allee effect, Authorea Preprints, 2022)
ARTICLES PUBLISHED IN OTHER INTERNATIONAL INDEXES JOURNALS
Ak Gümüş Ö., Köse H, "Constitution of stability domain for handing asymptotic stable scaler equations", PROOCEDING OF THE INTERNATIONAL CONFERENCE ON MODELING AND SIMULATION, 661-664, 2006 (Tam Metin Bildiri)
Ak Gümüş Ö., Köse H., “The stability of continuous population dynamic model depending on the number of predators and Allee effect”, SELÇUK J. of APPL. MATH., pp. 55-64, 2010.
Ak Gümüş Ö., Köse H., “On the stability of delay population dynamics related with Allee effects”, MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, Vol.17, No. 1, pp. 56-67, 2012.
Ak Gümüş Ö., Köse H., “Allee effect on a new delay population model and stability analysis”, JOURNAL of PURE and APPLIED MATHEMATICS: ADVANCES AND APPLICATIONS, vol.7, Number 1, 21-31, 2012.
Ak Gümüş Ö., Taşkara N., “A note on stability constraints for asymptotic stability of the scalar equations”, TRANSYLVANIAN of MATHEMATICS and MECHANICS, vol.5, No. 2, 107-114, 2013
Ak Gümüş Ö., ”Dynamical Consequences and Stability Analysis of a New Host-Parasitoid Model”, GENERAL MATHEMATICAL NOTES, vol.27, No. 1, pp.9-15, 2015.
Ak Gümüş Ö., Kangalgil F., “Allee effect and stability in a discrete-time host-parasitoid model", JOURNAL of ADVANCED RESEARCH in APPLIED MATHEMATICS, Vol.7, Issue 1, 94 -99, 2015.
Ak Gümüş Ö., “Local stability analysis and Allee effects in a nonlinear discrete-time population model Involving delay”, JOURNAL of ADVANCED RESEARCH in APPLIED MATHEMATİCS, vol.7, Issue 3, 30 -37, 2015.
Kangalgil F., Ak Gümüş Ö., “Allee effect in a new population model and stability analysis”, GENERAL MATHEMATICS NOTES, vol.35, 54-64, 2016.
Ak Gümüş Ö., Kangalgil F., “Dynamics of a host-parasite model connected with immigration”, NEW TRENDS IN MATHEMATICAL SCIENCES, vol.5 (3), 332-339, 2017.
Ak Gümüş Ö., Dynamics of a host-parasitoid model related to Smith growth form, GENERAL MATHEMATICS NOTES, vol 38(1), 72-84,2017.
Merdan H., Ak Gümüş Ö., Aydın G., Global Stability Analysis of a General Scalar Difference Equations, DISCONTINUITY, NONLINEARITY AND COMPLEXITY, vol.7 (3), 225-232, 2018.
Ak Gümüş Ö, B. S. Bilgi, Dynamics of a Host-Parasitoid Model Related to Pennycuick Growth Form, UNIVERSAL JOURNAL OF MATHEMATICS AND APPLICATION, vol.2 (4), 170-179. 2019.
Selvam A.G. M, Janagaraj R., Ak Gümüş Ö., Stability and Bifurcation: Discrete Differential Algebraic Planar Model with Square Root, International Journal of Recent Technology and Engineering, 8, 4S5, 290, 2019.
Selvam A.G. M., Dhineshbabu R. and Ak Gümüş Ö, Stability and Neimark - sacker bifurcation for a discrete system of one - scroll chaotic attractor with fractional order, JOURNAL OF PHYSICS: CONFERENCE SERIES, 1597 (012009), 2020.
Selvam A.G. M., Dhineshbabu R. and Ak Gümüş Ö, Complex Dynamics Behavior of a Discrete prey-Predator-Scavenger Model with Fractional order, JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, vol.17 (5), 2136-2146, 2020.
Ak Gümüş Ö., Selvam A.G.M, Kılınç N., Rajendran J., Anayses of the SIR Epidemic Model Including Treatment and Immigration, Journal of Mathematical Sciences and Modelling 7 (1), (Erken Görünüm), 1-13, 2024.
Ak Gümüş Ö., Selvam A.G.M., Janagaraj R., Bifurcation and Stability of an Discrete-time SIS Epidemic Model with Treatment, Gazi University Journal of Science, (Basımda) 2024.
PUBLISHED ARTICLES IN NATIONAL JOURNALS
Köse H., Ak Gümüş Ö., “The stability analysis depending number of predation in discrete-time population model and Allee effect”, Adiyaman University, JOURNAL OF SCIENCE, vol. 2 (1), 24-33, 2012.
Ak Gümüş Ö., “Stability analysis in scalar equations”, Adiyaman University, JOURNAL OF SCIENCE(2), 109-149, 2014.
Ak Gümüş Ö., Generalized stability for a class of nonlinear difference population model, Afyon Kocatepe University, JOURNAL OF SCIENCE AND ENGINEERING SCIENCES, vol.16, 585-591, 2016.
WORKSHOP / POSTER / SYMPOSIUM
Ak Gümüş Ö., Köse H., “Constitution of stability domain for handing asymptotic stable scaler equations”, Proceeding of the International Conference on modeling and simulation, KONYA,28-30 August 2006.
Ak Gümüş Ö., Taskara N., “Stability boundary for asymptotic stability of scaler equation”, International Conference on Difference Equations and Applications, ISTANBUL, 21-25 July 2008.
Merdan H., Ak Gümüş Ö., “Stability analysis of a general discrete-time population model ınvolving delay and Allee effects”, Anatolian Communications ın Nonlinear Analysis, Abant Izzet Baysal University, BOLU, 3-6 June 2013.
Ak Gümüş Ö., Köse H., “On the stability of delay population dynamics related with Allee effects”, The 12th International Workshop on Dynamical Systems and Applications, Atılım University, ANKARA, 12-15 August 2013.
Ak Gümüş Ö., Köse H., “The stability continuous population dynamic model depending on the number of predators and Allee effect”, II. National Konya Ereğli Kemal Akman Junior technical college Communiqué days, .47, 13-14 May, EREĞLI, 2010.
Ak Gümüş Ö., “Global stability in a population model with Allee effect”, 3rd international eurasıan conference on mathematical sciences and applications,VIENNA, 25-28 August 2014.
Ak Gümüş Ö., “Stability analysis in the host-parasitoid model”, Poster, I.Women Mathematicians Association Workshop, Gebze Institute of Technology, KOCAELI, 2-4 May 2014.
Ak Gümüş Ö., “Dynamics of host-parasitoid model connected the immigration parameter”, II. Women Mathematicians Association Workshop, Cumhuriyet University, SİVAS, 1-3 May2015.
Ak Gümüş Ö., Stability Behavior of a modified Nicholson-Bailey model, International Conference on analysis and its applications, Ahi Evran University, 12-15 July, KIRŞEHİR, 2016,
Ak Gümüş Ö., Dynamics of a Discrete-time host-parasitoid model, International Conference on analysis and its applications, Ahi Evran University, 12-15 July, KIRŞEHİR, 2016,
Ak Gümüş Ö., The effect of Allee factor on stability in a nonlinear discrete-time population model involving delay, International Conference on analysis and its applications, Ahi Evran University, 12-15 July, KIRŞEHİR, 2016. (Poster)
Ak Gümüş Ö., Kangalgil F. Consequences on the global stability of the discrete-time population model. 3rd International Conference on Computational Mathematics and Engineering Sciences, CYPRUS, 2018.
Ak Gümüş Ö., The impact of the Allee effect and global and local behaviour of the a nonlinear discrete-time population model. International Conference on Mathematics and Mathematics Education, URFA, 2017.
Ak Gümüş Ö., Kangalgil F., A Host-Parasite Population Dynamics under Immigration. International Conference on Mathematics and Mathematics Education, URFA, 2017.
Kangalgil F., Ak Gümüş Ö., Allee Effect and Stability in a Discrete-time Hostparasitoid Model. International Conference on Mathematics and Mathematics Education, URFA, 2017.
Kangalgil F., Ak Gümüş Ö., A General Nonlinear Discrete-Time Population Model involving Allee Effect and Stability Analysis. International Conference on Mathematics and Mathematics Education, URFA, 2017.
Kangalgil F., Ak Gümüş Ö., Allee Effect and stability analysis of a delayed discrete-time population model. 3rd International Conference on Computational Mathematics and Engineering Sciences, CYPRUS, 2018.
Kangalgil F., Ak Gümüş Ö., Stability analysis and a discrete-time population model with predation. International Conference on Computational Mathematics and Engineering Sciences, CYPRUS, 2018.
Ak Gümüş Ö., Kangalgil F., The stability of delayed population models and the effect of the Allee factor on stability. 3rd International Conference on Computational Mathematics and Engineering Sciences, KIBRIS, 2018.
Ak Gümüş Ö., The stability analysis of a host-parasitoid involving immigration related to smith growth form, AIP Conference Proceedings 1991 (1), 020029, ANTALYA, 2018 (Tam metin bildiri)
Ak Gümüş Ö., Acer İdem S., Stability and Bifurcation Analysis of a Discrete-Time SIS Epidemic Model, ADYU Science, culture and art symposium, ADIYAMAN,18 April 2019.
Ak Gümüş Ö., Acer İdem S., The stability of delayed Discrete-time population model and Allee Factor, International Conference on Mathematical Studies and Applications, KARAMAN, 2018.
George Maria Selvam A., Janagaraj Rajendran, Ak Gümüş Ö., Stability and bifurcation: Discrete system of square root functional response with step size, Conference: International Conference on Advanced Scientific Innovation in Science, Engineering and Technology (ICASISET), INDIA, 2019.
George Maria Selvam A.,Dhineshbabu . R, Ak Gümüş Ö., Complex dynamics behaviors of a discrete prey-predator-scavenger model with fractional order, Conference: International Conference on Advanced Scientific Innovation in Science, Engineering and Technology (ICASISET), INDIA, 2019.
Ak Gümüş Ö., Stability and Bifurcation Analysis in a discrete-time prey predator model, and chaos control, Fifth International Conference on Computational Mathematics and Engineering Sciences (CMES), 2021.
N. Kılınç, Ak Gümüş Ö, Analysis of the epidemic model depending on saturated and mass action incidence rates with treatment, 7. ULUSLARARASI ERCİYES BİLİMSEL ARAŞTIRMALAR KONGRESİ, 229-316, 2022 (Tam metin bildiri).
H. Baran, Ak Gümüş Ö, Dynamics of SIR Epidemic model with treatment function, VI. ULUSLARARASI BATTALGAZİ BİLİMSEL ÇALIŞMALAR KONGRESİ, 2022 (Tam metin bildiri).
SCIENTIFIC SYMPOSIUM / WORKSHOP AND SCIENTIFIC MEETINGS
- National Complex Dynamical Systems and Applications, TOBB University of Economics and Technology, ANKARA, 2012.
- Ankara Mathematics Days, Çankaya University, ANKARA, 2013.
SCIENTIFIC ASSOCIATION, ORGANIZATION, AND MEMBERSHIP INSTITUTIONS
Türk-Eğitim Sen 2002-...
Adıyaman Üniversitesi