Faculty of Science

Necmettin Erbakan University, Turkey

Email: [email protected]

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. Enver, A., Anwer, A. M. O. A., Yavuz, M., et al. (2026). General fractional calculus approach to a three-dimensional nonlinear reaction-diffusion system for atherosclerosis: LDL, Lipoprotein(a) and CRP dynamics with Sonine kernels. Chaos Solitons & Fractals, 211, 118848.
2. Yavuz, M., Solouma, E., Usta, F., et al. (2027). EPIDEMIOLOGICAL MODELING AND CONTROL OF PNEUMONIA TYPHOID CO-INFECTION IN AN EXPONENTIAL DECAY LAW. Discrete and Continuous Dynamical Systems-Series S, 32, 253-289.
3. Enver, A., Ayaz, F., Yavuz, M., et al. (2026). Fractional Reaction-Diffusion Modelling of Immune-Mediated Demyelination in Multiple Sclerosis Under IFN-Beta and Glatiramer Acetate Therapy. Fractal and Fractional, 10(5), 281.
4. Almalki, F. M. K., Solouma, E., Yavuz, M., et al. (2026). Analytical and numerical study of bifurcations and reaction-diffusion patterns in a predator-prey model with holling-III response and variable carrying capacity. Ain Shams Engineering Journal, 17(6), 104131.
5. Ahmad, M., Naik, P. A., Yavuz, M., et al. (2026). Analyzing the soliton waves' behavior in the (3+1)-dimensional time-fractional Jimbo-Miwa equation. Modern Physics Letters B, 40(11).
6. Akbarian, M., Baleanu, D., Yavuz, M., et al. (2026). AN INNOVATIVE METHOD FOR STABILITY ASSESSMENT IN FRACTIONAL-ORDER SYSTEMS VIA HIGHER-ORDER LYAPUNOV DERIVATIVES. Discrete and Continuous Dynamical Systems-Series S, 30, 269-294.
7. Gdawiec, K., Qureshi, S., Shaikh, F., et al. (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.
8. Al-Essa, L. A., Akram, S., Rahman, M. U., et al. (2026). Analytical Dynamics of Complex Soliton Structures Characterized by Hyperbolic, Trigonometric, and Jacobi Elliptic Solutions in the Coupled Higgs System. Journal of Mathematics, 2026(1), 1703570.
9. Alhamzi, G., Solouma, E., Yavuz, M., et al. (2026). Comparative Numerical Analysis of MSGDTM and Jacobi Spectral Collocation Methods for a Fractional-Order Computer Virus Model. Journal of Mathematics, 2026(1), 1047686.
10. Rahman, M. U., Ghodbani, R., Yavuz, M., et al. (2026). Interventions in Corruption Dynamics: A Computational Analysis With a Piecewise-Modified Fractional-Order Derivative. Discrete Dynamics in Nature and Society, 2026(1), 5747999.
11. Sarrah, A., Alanazi, F. J., Yavuz, M., et al. (2026). The Effects of Fluctuating Carrying Capacity on the Dynamics of a Holling-Type III Predator-Prey Model. Journal of Mathematics, 2026(1), 5067259.
12. Hassaballa, A. A., Yavuz, M., Abdel-Salam, E. A. -B., et al. (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.
13. 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, 473, 116888.
14. Boulaasair, L., Yavuz, M., & Bouzahir, H. (2025). Asymptotic Analysis of Poverty Dynamics via Feller Semigroups. Mathematics, 13(13), 2120.
15. 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.
16. Joshi, H., & Yavuz, M. (2025). PREFACE: MODELLING & ANALYSIS OF BIOLOGICAL & BIOPHYSICAL PROCESSES WITH APPLICATIONS. Discrete and Continuous Dynamical Systems-Series S, 18(5).
17. Naik, P. A., Yeolekar, B. M., Qureshi, S., et al. (2025). Fractional Insights in Tumor Modeling: An Interactive Study Between Tumor Carcinogenesis and Macrophage Activation. Advanced Theory and Simulations, 8(7).
18. Mani, D. N. P., Shanmugam, M., Yavuz, M., et al. (2025). Dynamic behaviour of an eco-epidemiological model of fractional-order with a fear effect. Journal of Applied Mathematics and Computing, 71(3), 3913-3937.
19. Megala, T., Pradeep, M. S., Yavuz, M., et al. (2025). A role of fear on diseased food web model with multiple functional response. Physical Biology, 22(1), 016004.
20. Attaullah, Mahdi, K., Yavuz, M., et al. (2024). Computational approaches on integrating vaccination and treatment strategies in the SIR model using Galerkin time discretization scheme. Mathematical and Computer Modelling of Dynamical Systems, 30(1), 758-791.

Profile Details
https://erbakan.edu.tr/tr/akademik-personel/4098-mehmet-yavuz
https://mehmetyavuz.com/
https://scholar.google.com/citations?user=ILxNgXgAAAAJ&hl=tr

WOS ResearcherID: G-9422-2018