Ayman A. Arafa

Associate Professor
ayman.arafa@ejust.edu.eg

Personal Info

1824

Mathematics

Ayman A. Arafa was born in Sohag, Egypt, in 1988. He received his B.S., M.S., and Ph.D. degrees in Mathematics from Sohag University, Egypt, in 2009, 2013, and 2018, respectively. From 2010 to 2018, he worked as a Research Assistant at Sohag University. From 2018 to 2019 and 2021 to 2022, he served as an Assistant Professor in the Mathematics Department at Sohag University, Egypt.

In 2014 and 2019, he was awarded the Prof. Bahaa-Eddin Helmy Ismail Prize from the Egyptian Mathematical Society for the best Master’s and Ph.D. theses in Mathematics, respectively. From June 2019 to June 2021, he worked as a postdoctoral researcher at the School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an, China.

Currently, he is an Associate Professor of Mathematics in the Department of Mathematics, Faculty of Basic and Applied Sciences Institute (BAS), at the Egypt-Japan University of Science and Technology (E-JUST).

 

His research interests lie primarily in Mathematical Modeling, Dynamical Systems (ordinary, delay, fractional), Filippov systems, Chaos, Synchronization, Secure communications.

Awards

1-  Prof. Bahaa-Eddin Helmy Ismail’s Prize from the Egyptian Mathematical Society as the best PhD thesis in Mathematics, 2019.

2- Prof. Bahaa-Eddin Helmy Ismail’s Prize from the Egyptian Mathematical Society as the best Master thesis in Mathematics, 2014.

Impacted Journal

1. Ayman A. Arafa*, Soliman A. A. Hamdallaa, Ali Kandil. Mathematical modeling of threshold strategy in fishery management. Mathematical Methods in the Applied Sciences, 48, 12528-12549 (2025).

2. M. Omama, Ayman A. Arafa, A. Elsaid, Takahiko Miyazaki, Waheed K. Zahra. A novel fractional hybrid nanofluid model for blood flow in a stenosed artery with a peripheral plasma layer: Narrowing the gap between Bingham’s model and experiments . Chinese Journal of Physics, 96, 983-1010 (2025).

3. M. Omama, Ayman A. Arafa, A. Elsaid, Waheed K. Zahra. MHD tri-hybrid nanofluid blood flow in a porous cylinder: Insights from fractional relaxation modeling with thermal radiation and slip velocity boundary condition. ZAMM - Journal of Applied Mathematics and Mechanics, 105, e202400375 (2025).

4. M. Omama, Ayman A. Arafa, A. Elsaid, Waheed K. Zahra. Numerical analysis of double-fractional PDEs in MHD hybrid nanofluid blood flow with slip velocity, heat source, and radiation effects. Physica Scripta, 100, 015288 (2025).

5. Doaa M. Fawzy, Ayman A. Arafa*, A. Elsaid, Waheed K. Zahra. Mosquito suppression via Filippov incompatible insect technique. Applied Mathematics and Computation, 480, 128908 (2024).

6.  Soliman A. A. Hamdallaa, Ayman A. Arafa*. Stability analysis of Filippov prey-predator model with fear effect and prey refuge. Journal of Applied Mathematics and Computing, 70, 73-102 (2024).

7. Ali Kandil, Lei Hou, Mohamed Sharaf, Ayman A. Arafa. Configuration angle effect on the control process of an oscillatory rotor in 8-pole active magnetic bearings. AIMS Mathematics, 9(5), 12928-12963 (2024).

8. Lynne Githio, Huixin Liu, Ayman A. Arafa, Ayman Mahrous. A machine learning approach for estimating the drift velocities of equatorial plasma bubbles based on All-Sky Imager and GNSS observations . Advances in Space Research , 74, 6047-6064 (2024).

9. M. Omama, Ayman A. Arafa, A. Elsaid, Waheed K. Zahra. MHD flow of the novel quadruple hybrid nanofluid model in a stenosis artery with porous walls and thermal radiation: A Sisko model-based analysis. ZAMM - Journal of Applied Mathematics and Mechanics, 104(6), e202300719 (2024).

10. Doaa M. Fawzy, A. Elsaid, W. K. Zahra, Ayman A. Arafa*. Qualitative analysis of a Filippov wild-sterile mosquito population model with immigration. Chaos: An Interdisciplinary Journal of Nonlinear Science, 33, 113101 (2023).

11. Ayman A. Arafa*, Soliman A. A. Hamdallaa, Sanyi Tang, Yong Xu, Gamal M. Mahmoud. Dynamics Analysis of a Filippov pest control model with time delay. Communications in Nonlinear Science and Numerical Simulation, 101, 105865 (2021).

12. Soliman A. A. Hamdallaa, Ayman A. Arafa*, Sanyi Tang, Yong Xu. Complex dynamics of a Filippov three-species food chain model. International Journal of Bifurcation and Chaos, 31(5), 2150074 (2021).

13. Fathalla A. Rihan, Ayman A. Arafa, R. Rakkiyappan, C. Rajivganthi, Yong Xu. Fractional-order delay differential equations for the dynamics of hepatitis C virus infection with IFN-a treatment. Alexandria Engineering Journal 60(5), 4761-4774 (2021).

14. Ayman A. Arafa*, Yong Xu, Gamal M. Mahmoud. Chaos suppression via integrative time delay control. International Journal of Bifurcation and Chaos, 30(14), 2050208 (2020).

15. Gamal M. Mahmoud, Ahmed A. Farghalya, Tarek M. Abed-Elhameeda, Shaban A. Aly, and Ayman A. Arafa. Dynamics of distributed-order hyperchaotic complex van der Pol oscillator and its synchronization and control. The European Physical Journal Plus 135, 32 (2020).

16. Gamal M. Mahmoud, Ayman A. Arafa*, Emad E. Mahmoud. On phase and anti-phase combination synchronization of time delay nonlinear systems. Journal of Computational and Nonlinear Dynamics 13, 111001 (2018).

17. Gamal M. Mahmoud, Emad E. Mahmoud, Ayman A. Arafa. Synchronization of time delay systems with non-diagonal complex scaling functions. Chaos, Solitons & Fractals 111, 86-95 (2018).

18. Gamal M. Mahmoud, Ayman A. Arafa, Emad E. Mahmoud. Bifurcations and chaos of time delayed Lorenz system with dimension 2n + 1. The European Physical Journal Plus 132, 461 (2017).

19. Gamal M. Mahmoud, Ayman A. Arafa, Tarek M. Abed-Elhameed, Emad E. Mahmoud. Chaos control of integer and fractional orders of chaotic Burke-Shaw system using time delayed feedback control. Chaos, Solitons & Fractals 107, 680-692 (2017).

20. Gamal M. Mahmoud, Emad E. Mahmoud, Ayman A. Arafa. Projective synchronization for coupled partially linear complex-variable systems with known parameters. Mathematical Methods in the Applied Sciences 40, 1214-1222 (2017).

21. Gamal M. Mahmoud, Emad E. Mahmoud, Ayman A. Arafa. On modified time delay hyperchaotic complex Lu system. Nonlinear Dynamics 80, 855-869 (2015).

22. Gamal M. Mahmoud, Emad E. Mahmoud, Ayman A. Arafa. On projective synchronization of hyperchaotic complex nonlinear systems based on passive theory for secure communications. Physica Scripta 87, 055002 (2013).

23. Gamal M. Mahmoud, Emad E. Mahmoud, Ayman A. Arafa. Controlling hyperchaotic complex systems with unknown parameters based on adaptive passive method. Chinese Physics B 22, 060508 (2013).

24. Gamal M. Mahmoud, Emad E. Mahmoud, Ayman A. Arafa. Passive control of n-dimensional chaotic complex nonlinear systems. Journal of Vibration and Control 19, 1061-1071 (2013).

Non Impacted Journal

1- Ghada M. El-Sayed, Ayman A. Arafa, Ahmed A. Soliman, Gamal M. Mahmoud. Analysis of mathematical model for the impact of word of mouth and social media in marketing. Sohag Journal of Sciences, 10, 155-165 (2025). 

2- Aceng Sambas, Mustafa Mamat, Ayman A. Arafa, Gamal M. Mahmoud, Muhammad A. Mohamed, W. S. Mada Sanjaya. A new chaotic system with line of equilibria: dynamics, passive control and circuit design. International Journal of Electrical and Computer Engineering 9, 2365-2376 (2019).

National Conference

1- International Webinar on Mathematical Biology, 7-10 September 2020, Bharathiar University Coimbatore, India.

2- One-day conference in Mathematics and its Applications (Numerical Analysis - Differential Equations - Dynamical systems), 14 Apr. 2016, Faculty of Science, Assiut University, Egypt.

3- The 6th Symposium of the Fractional Calculus and Applications Group "One Day Conference in Mathematics," 4 Aug. 2014, Alexandria University, Egypt.

4- The First International Conference on New Horizons in Basic and Applied Science, 21-23 Sep. 2013 Hurghada, Egypt.

5- International Conference on Mathematics Trends Development (ICMTD12) 27-29 Dec. 2012, Cairo, Egypt.

6- Third Conference of Young Scientists, Sohag University, 2012.

7- Second International Conference on Mathematics \& Information Science, 10-13 Sep. 2011, Sohag University, Egypt.

Courses Teaching

1- For UG

Calculus I, II, Ordinary Differential Equations, Partial Differential Equations, Probability and Statistics, Special Functions, Algebra, Abstract Algebra, Complex Analysis, Analytic Geometry.

2- For PG

Dynamical Systems, Mathematical Modeling, Advanced differential equations, Probability and Statistics.