İlknur Kuşbeyzi Aybar

Title:

Assoc. Prof.

Department:

Mathematics Department

Position:

Deputy Dean, Head of Department, Education Committee Faculty Coordinator, WESMEK Faculty Coordinator

Email:

ikusbeyzi@yeditepe.edu.tr

Telephone:

0216 578 00 00 (3963) / (1590)

Time:

Full Time

Akademik

Resume

Education:

Undergraduate: Yıldız Teknik Üniversitesi, Mathematics (2004)
M.S.: Yıldız Teknik Üniversitesi, Mathematics (2006)
Ph.D.: Gebze Teknik Üniversitesi, Mathematics (2010)

Research Projects:

Generalized Power Exponential Parametrization as an Advanced Creative Tool in Functionally Improved Sensing Electronics,ürkiye (TÜBİTAK) - Ukrayna (DKNII) Bilateral Project (2514), 111T805 (2012-2014) (Researcher)
Lotka-Volterra Systems and Some Applications to Biology, Chemistry and Physics, Türkiye (TÜBİTAK) - Slovenya (ARRS) Bilateral Project (2508), 113F383 (2014-2016) (Project Manager)
Dynamical Analysis of Biochemical Systems Using the Methods of Computational Algebra, Türkiye (TÜBİTAK) - Slovenya (ARRS) Bilateral Project (2508), 119F017 (2019-2022) (Project Manager)

COST Action Memberships:

Mathematical models for interacting dynamics on networks (MATDYNNET), CA18232 (2019-2024) (WG5)
Cross-Border Transfer And Development Of Sustainable Resource Recovery Strategies Towards Zero Waste, CA20133 (2021-2025) (WG1, WG2, WG3, WG4)
Waste biorefinery technologies for accelerating sustainable energy processes, CA20127 (2021-2025) (WG1, WG2, WG3, WG4)
Making Young Researchers' Voices Heard for Gender Equality, CA20137 (2021-2025) (WG1, WG2)
Information, Coding, and Biological Function: the Dynamics of Life (DYNALIFE) CA21169 (2022-2026) (WG1, WG2)

Research Area:

Applied and computational mathematics, mathematical modelling, computational algebra

Courses Given

Calculus I

Calculus II

MATHEMATICAL MODELLING

Differential Equations

Publications

Papers in SCI journals:

B. Ferčec, M. Mencinger, T. Petek, O. O. Aybar, I. K. Aybar: Qualitative Analysis of the Minimal Higgins Model of Glycolysis, MATCH Commun. Math. Comput. Chem. 90 (2023) 563–580.
Kusbeyzi Aybar, Memristor-based oscillatory behavior in the FitzHugh-Nagumo and Hindmarsh-Rose models, Nonlinear Dynamics (2021) DOI: 10.1007/s11071-021-06231-7
B. Fercec, M. Dukaric, O. O. Aybar, I. K. Aybar, Supercritical Hopf Bifurcations in Two Biochemical Reaction Systems, MATCH Communications in Mathematical and in Computer Chemistry 85 3 525-544 (2021)
I. K. Aybar, O. O. Aybar, B. Fercec, M. Dukaric, Dynamical Analysis of a two prey-one predator system with quadratic self interaction, Applied Mathematics and Computation, 333 15 118-132 (2018) (Times cited: 2) DOI: 10.1016/j.amc.2018.03.123
I. K. Aybar, O. O. Aybar, B. Fercec, V. G. Romanovski, S. S. Samal, A. Weber, Investigation of Invariants of a Chemical Reaction System with Algorithms of Computer Algebra, MATCH Communications in Mathematical and in Computer Chemistry 74 3 465-480 (2015) (Times cited: 7)
O. Shpotyuk, V. Balitska, A. Kozdras, A. S. Hacinliyan, Y. Skarlatos, I. Kusbeyzi Aybar, O.O. Aybar, Chaotic behavior of light-assisted physical aging in arsenoselenide glasses, Chaos: An Interdisciplinary Journal of Nonlinear Science 24 043138 (2014) (Times cited:2) DOI: 10.1063/1.4903795
A. S. Hacinliyan, Y. Skarlatos, I. Kusbeyzi, O. O. Aybar, O. Shpotyuk, R. Golovchak, V. Balitska, A. Kozdras, Natural physical ageing in glassy As-Se: a comparative study of chaotic behavior with enhanced results analysis, Journal of Non-Crystalline Solids 386 8-13 (2014) (Times cited: 8) DOI: 10.1016/j.jnoncrysol.2013.11.022
O. O. Aybar, I. Kusbeyzi, A. S. Hacinliyan, Bifurcations in Van der Pol-like Systems, Mathematical Problems in Engineering, 138430 (2013) (Times cited: 1)DOI: 10.1155/2013/138430
I. Kusbeyzi, O. O. Aybar, A. Hacinliyan, Stability and Bifurcation in Two Species Predator-Prey Models, Nonlinear Analysis: Real World Applications 12 377-387 (2011) (Times cited: 14) DOI: 10.1016/j.nonrwa.2010.06.023
A. Hacinliyan, I. Kusbeyzi, O. O. Aybar, Approximate Solutions of Maxwell-Bloch Equations and Possible Lotka-Volterra Type Behavior, Nonlinear Dynamics 62 17-26 (2010) (Times cited:11) DOI: 10.1007/s11071-010-9695-5

Papers in other peer-reviewed journals:

I. Kusbeyzi Aybar, Stability and Hopf Bifurcation in Three-Dimensional Predator-Prey Models with Allee Effect, Sakarya University Journal of Science, 23 5 1005-1011 (2019)
I. Kusbeyzi Aybar, A dynamical analysis of the virus replication epidemic model, Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 9 2 206-219 (2019)
I. Kusbeyzi Aybar, A super-predator, predator, and prey model with logistic growth, International Journal of Applied Mathematics and Statistics 57 2 (2018)

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İlknur Kuşbeyzi Aybar

Akademik