Dr. Rawan Abdullah is a dedicated mathematician and researcher specializing in the qualitative study of mathematical models for pharmacodynamics. She obtained her Ph.D. in Applied Mathematics from Politehnica University, Bucharest, in 2023. Her research focuses on the application of mathematical modeling to pharmacodynamics, particularly in studying allergies, cancers, and HIV.

Since 2017, Dr. Abdullah has been actively engaged in academia, teaching mathematics at various institutions, including Al-Forkan High School (2017-2020), My Little Kingdom School in Jeddah, KSA (2020-2023), and NEIGB School in Saida (2021-present). Her teaching expertise spans a wide range of mathematical disciplines, integrating innovative methodologies such as GeoGebra to enhance student comprehension.

Her main research interests include the stability analysis of differential equation models in medical applications, delay differential equations, and optimal control theory applied to disease modeling. Dr. Abdullah has presented her research at esteemed conferences such as ISIM & ISWIM and has published extensively in peer-reviewed international journals.

Education

• Ph.D. in Applied Mathematics, Politehnica University, Bucharest, 2023
• Master’s in Numerical Analysis and Partial Differential Equations, Lebanese University Faculty of Science (Branch I), Beirut, 2017
• B.S. in Mathematics, Lebanese University, Faculty of Science (Branch I), Beirut, 2015

Professional Interests

• Mathematical modeling of pharmacodynamics
• Stability analysis of differential equations
• Optimal control and applications to medical sciences
• Delay differential equations

Refereed Publications

• Abdullah, K. Amin, A. Halanay, R. Mghames - "Partial Stability in a Model for Allergic Reactions Induced by Chemotherapy of Acute Lymphoblastic Leukemia," *Ann.Acad.Rom.Sci. Ser.Math.Appl.*, Vol. 15, No.1-2/2023
• Amine, A. Halanay, R. Mghames, Rawan Abdullah - "A Delay Differential Equation Model for Cell Evolution in Chikungunya," *U.P.B. Sci. Bull., Series A*, Vol. 85, Iss. 1, 2023
• Abdullah, I. Badralexi, A. Halanay - "Stability Analysis in a Mathematical Model for Allergic Reactions," *Axioms* 2024, 13, 102
• Abdullah, I. Badralexi, A. Halanay - "Stability Analysis in a New Model for Allergic Reactions Induced by Chemotherapy of Chronic Lymphocytic Leukemia," *Mathematics* 2023, 11(14), 3225
• Abdullah, I. Badralexi, L. Fakih, A. Halanay - "Mathematical Modeling of Immune Dynamics in Chronic Myeloid Leukemia Therapy: Unraveling Allergic Reactions and T Cell Subset Modulation by Imatinib," *Axioms* 2024, Volume 13, Issue 7, 464
• R. Abdullah, F. Avram, A. Halanay, R. Radulescu - "A Mathematical Model for Allergic Reactions Induced by the Therapy of HIV," (Accepted by *Mathematical Methods in the Applied Sciences*, 2025)