Computational Mathematics PhD Applicant

Dr. Muhammad Adnan Aslam

Ph.D. Mathematics (Completed 2026, Degree Certificate Awaited)

COMSATS University Islamabad, Lahore Campus, Pakistan Email: ************@*****.*** Contact: +92-308-******* Research Profile

Mathematical modeler with a strong foundation in dynamical systems, numerical simulation, and computational mathematics. Experienced in developing and analyzing mathematical models for complex systems using MATLAB- based numerical methods and stability analysis. Published author with 3 peer-reviewed papers in The European Physical Journal Plus (2025–2026) and 5 additional manuscripts under review. Proficient in implementing nu- merical schemes, parameter estimation, and model calibration. Passionate about computational mathematics and its applications to real-world physical phenomena. Research Interests

Mathematical modeling, dynamical systems, stability analysis, optimal control theory, numerical simulations, computational biology, machine learning applications, infectious disease modeling, numerical analysis, and high- order discretizations.

Education

Ph.D. in Mathematics 2026

COMSATS University Islamabad, Lahore Campus, Pakistan Thesis: Qualitative Analysis and Optimal Control of Nonlinear Dynamical Systems

(Degree completed; certificate awaited)

M.S. in Mathematics 2022

COMSATS University Islamabad, Lahore Campus, Pakistan B.S. (Hons.) in Mathematics 2020

COMSATS University Islamabad, Lahore Campus, Pakistan Research Experience

Visiting Lecturer 2024–Present

Leads University and COMSATS University Islamabad, Lahore Campus, Pakistan Teaching Pre-Calculus, designing course assessments, and mentoring undergraduate students. Ph.D. Researcher 2022–2026

COMSATS University Islamabad, Lahore Campus, Pakistan Developed mathematical models for infectious diseases and fake news propagation using nonlinear dynamical systems, optimal control theory, and numerical simulations. Peer-Reviewed Publications

1. Nadeem, M. F., Alazman, I., Aslam, M. A., Rizvi, S. T. R., Aldawish, I., & Seadawy, A. R. (2026). Modeling, analysis, and control of fake news propagation using an epidemiological approach. The European Physical Journal Plus, 141(4), 406.

2. Aslam, M. A., Alazman, I., Ahmad, S. S., Nadeem, M. F., Rizvi, S. T. R., & Seadawy, A. R. (2025). Dynamical analysis and optimal control of an ebola virus model with animal reservoir and human spillover. The European Physical Journal Plus, 140(12), 1186.

3. Aslam, M. A., Alotaibi, F. T., Shan-e-Ahmad, S., Nadeem, F., Rizvi, S. T. R., Alazman, I., & Seadawy, A. R. (2025). Mathematical analysis and optimal control of a pertussis transmission model with stability and sensitivity analysis. The European Physical Journal Plus, 140(12), 1210. 1

Manuscripts Under Review

1. Aslam, M. A., Nadeem, M. F., Rizvi, S. T. R. (Under Review). Modeling social media addiction dynamics with scams, depression, and integral sliding mode control. 2. Aslam, M. A., Nadeem, M. F., Rizvi, S. T. R. (Under Review). Mathematical modeling and robust control of malaria-gnathostomiasis coinfection with vector-borne and environmental transmission. 3. Aslam, M. A., Nadeem, M. F., Rizvi, S. T. R. (Under Review). Modeling state terrorism dynamics: A com- partmental approach with radicalization, repression, and rehabilitation. 4. Aslam, M. A., Nadeem, M. F., Rizvi, S. T. R. (Under Review). Modeling measles-pneumonia co-infection dynamics with integral sliding mode control.

5. Aslam, M. A., Nadeem, M. F., Rizvi, S. T. R. (Under Review). Nonlinear dynamics and integral sliding mode control of a war model with radicalization, conflict intensity, and economic feedback. Technical Skills

Programming Languages: MATLAB, LaTeX

Modeling Techniques: Nonlinear dynamical systems, ODE models, stability analysis, optimal control theory, numerical simulations, NSFD schemes.

Analytical Methods: Local and global stability analysis, Routh-Hurwitz criteria, Castillo-Chavez method, sensi- tivity analysis, next-generation matrix method.

Control Theory: Integral Sliding Mode Control (ISMC), robust control, nonlinear control. Relevant Coursework

Mathematical Modeling, Dynamical Systems, Optimal Control Theory, Numerical Analysis, Partial Differential Equations, Scientific Computing, Computational Mathematics. Teaching Experience

Visiting Lecturer 2024–Present

COMSATS University Islamabad and Leads University, Lahore, Pakistan Delivering lectures in Pre-Calculus to undergraduate students, designing course assessments, preparing lecture materials, developing curriculum, and providing academic mentoring. Languages

English (Fluent), Urdu (Fluent), Punjabi (Native)

References

Prof. Dr. Muhammad Faisal Nadeem

Professor, Department of Mathematics

COMSATS University Islamabad, Lahore Campus, Pakistan Email: ******.******@*********.***.**

Dr. Syed Tahir Raza Rizvi

Associate Professor, Department of Mathematics

COMSATS University Islamabad, Lahore Campus, Pakistan Email: ******@*********.***.**

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