Dr. Rawan Abdullah is a lecturer in Mathematics at Rafik Hariri University (RHU), college of Arts and Sciences, with research that lies at the intersection of applied mathematics, mathematical biology, and control of delay differential equations (DDEs).

Dr. Rawan Abdullah defended her Ph.D. in Applied Mathematics with very good results at the Politehnica University of Bucharest in 2023 under the supervision of Prof. Andrei Halanay. Her academic work focuses on modelling immune drug interactions (leukemia, HIV) and stability/optimal control

methodologies that inform clinically meaningful dosing and desensitisation strategies, including partial-stability analysis of delay systems via Lyapunov–Krasovskii functionals/ equations.

EDUCATION

• PhD in Applied Mathematics (2020–2023)

Politehnica University of Bucharest, Romania

Thesis: Qualitative study of mathematical models for pharmacodynamics and applications to allergies, cancers, and HIV.

• MSc in Pure Mathematics (2015–2017)

Lebanese University – Beirut, Lebanon

Master’s thesis: Evolution of an explicit solution with correctors for the Green–Naghdi equation.

• BSc in Mathematics (2012–2015)

Lebanese University – Beirut, Lebanon

ACADEMIC & PROFESSIONAL PROFILE

• Current Position: Lecturer in Mathematics at Rafik Hariri University (RHU), Lebanon (2024–Present).

Additional Role: Mathematics Teacher at the National Evangelical School for Girls and Boys (NEIGB), Saida (2021–Present).

At NEIGB, she teaches mathematics using interactive, inquiry-based methods; designs lesson plans aligned with national curriculum standards; integrates technological tools such as GeoGebra; and provides individualized tutoring support.

• Teaching Experience: Calculus I, Calculus III, Numerical Analysis, and MATLABbased numerical projects supervision. Her teaching emphasizes conceptual understanding, applied reasoning, and the integration of computational methods into mathematical modeling.
• Research Areas: Applied mathematics and mathematical biology, with a focus on the qualitative and control analysis of nonlinear delay differential equations (DDEs).

Her research addresses:

– Existence, positivity, and boundedness of solutions in biological systems with stateor time dependent delays.

– Stability and partial stability of immune drug interaction models (leukemia, HIV, chemotherapy induced allergies).

– Pontryagin type optimal control problems in pharmacokinetic/pharmacodynamics (PK/PD) frameworks with immune feedback.

• Analytical & Numerical Methods:

– Construction and analysis of Lyapunov Krasovskii functionals for local and partial stability investigations.

– Spectral and characteristic root techniques for stability boundaries.

– Forward backward sweep (FBS) algorithms for optimal control of DDEs.

– Numerical continuation and simulation of non-autonomous systems with multiple delays.

PUBLICATIONS (PEER-REVIEWED)

1. 2025 — Q1 R. Abdullah, F. Avran, A. Halanay, R. Radulescu.

A Mathematical Model for Allergic Reactions Induced by the Therapy of HIV.

Mathematical Methods in the Applied Sciences, 48(14), 13816–13838, 30 Sep 2025.

DOI: 10.1002/mma.11145.

2. 2024 — Q1 R. Abdullah, I. Badralexi, L. Fakih, A. Halanay.

Mathematical Modeling of Immune Dynamics in Chronic Myeloid Leukemia Therapy. Axioms, 13(7):464, 2024.

DOI: 10.3390/axioms13070464.

3. 2024 — Q1 R. Abdullah, I. Badralexi, A. Halanay.

Stability Analysis in a Mathematical Model for Allergic Reactions. Axioms, 13:102, 2024.

DOI: 10.3390/axioms13020102.

4. 2023 — Q1 R. Abdullah, I. Badralexi, A. Halanay.

Stability Analysis in a New Model for Allergic Reactions Induced by Chemotherapy of CLL.2 Mathematics, 11(14):3225, 2023.

DOI: 10.3390/math11143225.

5. 2023 — Q3 K. Amine, A. Halanay, R. Mghames, R. Abdullah.

A Delay Differential Equation Model for Cell Evolution in Chikungunya. U.P.B. Scientific Bulletin, Series A, 85(1), 2023, 95–106.

Available online.

6. 2023 — Q4 R. Abdullah, K. Amin, A. Halanay, R. Mghames.

Partial Stability in a Model for Allergic Reactions Induced by Chemotherapy of ALL. Annals of the Academy of Romanian Scientists, Math. Appl., 15(1–2), 2023. DOI: 10.56082/annalscirmath.2023.1-2.443.

ARTICLES IN PRESS / WORK IN PROGRESS

• R. Abdullah, L. Abou Orm, A. Halanay. Mathematical Modeling of Optimal Chemotherapy Dosing in Chronic Lymphocytic Leukemia: A Stability-Based Strategy to Prevent Allergic Reactions. (In press.)

CONFERENCE PAPERS & PRESENTATIONS

• IEEE ICABME 2025, Beirut Arab University, Debbieh Campus, Lebanon.

1. Abou Orm, R. Abdullah. Mathematical Modeling of Optimal Chemotherapy Dosing in Chronic Lymphocytic Leukemia: A Stability-Based Strategy to Prevent Allergic Reactions.

• ISIM & ISWIM 2024, University POLITEHNICA of Bucharest.

Modeling Immune Dynamics in CML Therapy: Effects of Imatinib on Allergic Reactions and T Cells.

• ISIM & ISWIM 2023, University POLITEHNICA of Bucharest.

Mathematical Modeling and Optimal Control of Allergic Reactions Induced by HIV Therapy.

• ISIM & ISWIM 2022, University POLITEHNICA of Bucharest.

Stability Analysis of a Novel Model for Allergic Reactions Induced by Chemotherapy in Chronic Lymphocytic Leukemia.