Department of Mathematics and Computer Sciences, Faculty of Science

Qualifications

2016 Ph.D., Department of Applied Mathematics, Balikesir University, Turkey

2012 M.Sc., Department of Applied Mathematics, Balikesir University, Turkey

2011 B.Sc., Department of Public Administration, Anadolu University, Turkey

Publications (Selected)

1. Joshi, H., & Yavuz, M. (2026). A novel fractional-order model and analysis of cancer-immune system interaction in an avascular environment with an efficient control mechanism. Journal of Computational and Applied Mathematics, 116888.
2. Sarrah, A., Alanazi, F. J., Yavuz, M., & Saber, S. (2026). The Effects of Fluctuating Carrying Capacity on the Dynamics of a Holling‐Type III Predator–Prey Model. Journal of Mathematics, 2026(1), 5067259.
3. Gdawiec, K., Qureshi, S., Shaikh, F., Baleanu, D., Soomro, A., Argyros, I. K., ... & Yavuz, M. (2026). Highly Accurate and Stable Class of Zero‐Finding Numerical Methods Based on Daftardar–Jafari Decomposition Approach for Engineering Applications. Mathematical Methods in the Applied Sciences.
4. Magudeeswaran, S., Sivabalan, M., Yavuz, M., Singh, D. K., & Giridharan, K. (2026). Optimal Harvesting of Three Species Intraguild Predation Model with Ratio-dependent Functional Response. Control and Optimization in Applied Mathematics. 11 (1), 73-99.
5. Hassaballa, A. A., Yavuz, M., Abdel-Salam, E. A. B., Farah, G. A., & Daqqa, I. (2025). Geometrical representation and Hirota direct approach for multiple soliton solutions of nonlinear M-coupled fractional equations. Mathematical and Computer Modelling of Dynamical Systems, 31(1), 2595101.
6. Boulaasair, L., Yavuz, M., & Bouzahir, H. (2025). Asymptotic Analysis of Poverty Dynamics via Feller Semigroups. Mathematics 13, 2120.
7. Naik, P. A., Yeolekar, B. M., Qureshi, S., Yavuz, M., Huang, Z., & Yeolekar, M. (2025). Fractional Insights in Tumor Modeling: An Interactive Study Between Tumor Carcinogenesis and Macrophage Activation. Advanced Theory and Simulations, 2401477.
8. Joshi, H., & Yavuz, M. (2025). Chaotic dynamics of a cancer model with singular and non-singular kernel. Discrete and Continuous Dynamical Systems - Series S, 18(5), 1416-1439.
9. Joshi, H. and Yavuz, M. Taylan, O. and Alkabaa, A. (2025). Dynamic analysis of fractal-fractional cancer model under chemotherapy drug with generalized Mittag-Leffler kernel. Computer Methods and Programs in Biomedicine, 260, 108565
10. Deepak, N.P., Muthukumar, S., Yavuz, M. and Sivabalan, M. (2025). Dynamic behaviour of an eco-epidemiological model of fractional-order with a fear effect. Journal of Applied Mathematics and Computing, 1-25
11. Naik, P. A., Yavuz, M., Qureshi, S., Owolabi, K. M., Soomro, A., & Ganie, A. H. (2024). Memory impacts in hepatitis C: A global analysis of a fractional-order model with an effective treatment. Computer Methods and Programs in Biomedicine, 254, 108306.
12. Joshi, H. Yavuz, M. and Özdemir, N. (2024). Analysis of novel fractional order plastic waste model and its effects on air pollution with treatment mechanism. Journal of Applied Analysis and Computation, 14 (6), 3078-3098.
13. Eskandari, Z., Naik, P.A. and Yavuz, M. (2024). Dynamical behavours of a discrete-time prey-predator model with harvesting effect on the predator. Journal of Applied Analysis and Computation, 14 (1), 283-297.
14. Danane, J., Yavuz, M., & Yıldız, M. (2023). Stochastic Modeling of Three-Species Prey–Predator Model Driven by Lévy Jump with Mixed Holling-II and Beddington–DeAngelis Functional Responses. Fractal and Fractional, 7(10), 751.
15. Joshi, H., Yavuz, M., Stamova, I. (2023). Analyze the effect of disturbances in intracellular calcium dynamic on fibroblast cells with an exponential law, Bulletin of Biomathematics, 1(1), 24-39.
16. Joshi, H., Yavuz, M., Townley, S., & Jha, B. K. (2023). Stability analysis of a non-singular fractional-order covid-19 model with nonlinear incidence and treatment rate. Physica Scripta, 98(4), 045216. (SCI-Q2)
17. Muhammad, S., Anwar, T., & Yavuz, M. (2023). Comprehensive Investigation of Thermal and Flow Features of Alloy Based Nanofluid Considering Shape and Newtonian Heating Effects via New Fractional Approach. Fractal and Fractional, 7(2), 150. (SCI-Q1)
18. Naik, P. A., Eskandari, Z., Yavuz, M., & Zu, J. (2022). Complex dynamics of a discrete-time Bazykin-Berezovskaya prey-predator model with a strong Allee effect. Journal of Computational and Applied Mathematics, 114401. (SCI-Q1)
19. Yavuz, M., Sene, N., & Yıldız, M. (2022). Analysis of the Influences of Parameters in the Fractional Second-Grade Fluid Dynamics. Mathematics, 10(7), 1125.
20. Özköse, F., Yavuz, M., Şenel, M. T., & Habbireeh, R. (2022). Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom. Chaos, Solitons & Fractals, 157, 111954. (SCI-Q1)
21. Yavuz, M. (2022). European option pricing models described by fractional operators with classical and generalized Mittag‐Leffler kernels. Numerical Methods for Partial Differential Equations, 38(3), 434-456.
22. Ikram, R., Khan, A., Zahri, M., Saeed, A., Yavuz, M., & Kumam, P. (2022). Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay. Computers in Biology and Medicine, 141, 105115.
23. Özköse, F., & Yavuz, M. (2022). Investigation of interactions between COVID-19 and diabetes with hereditary traits using real data: A case study in Turkey. Computers in Biology and Medicine, 141, 105044.
24. Bonyah, E., Yavuz, M., Baleanu, D., & Kumar, S. (2022). A robust study on the listeriosis disease by adopting fractal-fractional operators. Alexandria Engineering Journal, 61(3), 2016-2028.
25. Hammouch, Z., Yavuz, M., & Özdemir, N. (2021). Numerical Solutions and Synchronization of a Variable-Order Fractional Chaotic System. Mathematical Modelling and Numerical Simulation with Applications, 1(1), 11-23.
26. Akgül, E. K., Akgül, A., & Yavuz, M. (2021). New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives. Chaos, Solitons & Fractals, 146, 110877.
27. Yavuz, M., & Sene, N. (2021). Fundamental Calculus of the Fractional Derivative Defined with Rabotnov Exponential Kernel and Application to Nonlinear Dispersive Wave Model. Journal of Ocean Engineering and Science, 6(2), 196-205.
28. Yavuz, M., Sulaiman, T. A., Usta, F., & Bulut, H. (2021). Analysis and numerical computations of the fractional regularized long‐wave equation with damping term. Mathematical Methods in the Applied Sciences, 44(9), 7538-7555.
29. Naik, P. A., Yavuz, M., Qureshi, S., Zu, J., & Townley, S. (2020). Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan. The European Physical Journal Plus, 135(10), 1-42.
30. Naik, P. A., Owolabi, K. M., Yavuz, M., & Zu, J. (2020). Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells. Chaos, Solitons & Fractals, 140, 110272.
31. Yavuz, M., & Abdeljawad, T. (2020). Nonlinear regularized long-wave models with anew integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel. Advances in Difference Equations, 2020, 367 (2020).
32. Yavuz, M., & Sene, N. (2020). Stability Analysis and Numerical Computation of the Fractional Predator–Prey Model with the Harvesting Rate. Fractal and Fractional, 4, 35.
33. Yavuz, M., & Özdemir, N. (2020). Comparing the New Fractional Derivative Operators Involving Exponential and Mittag-Leffler Kernel. Discrete and Continuous Dynamical Systems – Series S, 13 (3), 995-1006.

Profile Details

https://scholar.google.com/citations?user=ILxNgXgAAAAJ&hl=en

https://www.researchgate.net/profile/Mehmet-Yavuz-7/2

WoS Researcher ID: G-9422-2018