Namal University

DR. MUHAMMAD RAFIQ

Professor
  • Department of Mathematics
  • 113
  • muhammad.rafiq@namal.edu.pk
Summary
Dr. Muhammad Rafiq is working in Namal University, Mianwali as Professor in the Department of Mathematics. He has earned his Ph.D in Applied Mathematics from University of Engineering and Technology Lahore. He did his first postdoc from Near East University, Türkiye and the second postdoc from Lebanese American University, Lebanon. Prof. Rafiq has 20 years of experience in university teaching. His area of research is Mathematical Modeling of Infectious Diseases Dynamics. He has published 223 research papers in reputed journals. His cumulative impact factor is more than 600. Prof. Rafiq has presented his work in 66 National and International conferences. He has been working on transmission dynamics of infectious diseases since last 15 years and is among the pioneers who started the field mathematical modeling of communicable diseases in Pakistan. He has supervised 07 Ph.D and 50 M.Phil students. His name is included in the top 2% scientists of the world for the years 2023-24 and 2024-25.
Academic Background
Post Doctorate ( ) Near East University Turkey 2023
PhD in Applied Mathematics ( Numerical Modeling of Infectious Diseases Dynamics) University of Engineering and Technology Lahore, Pakistan 2017
M.Phil in Applied Mathematics ( Finite Element Method for General Linear Second Order Boundary Value Problem ) University of Engineering and Technology Lahore, Pakistan 2007
M.Sc in Applied Mathematics ( Numerical Solutions of Non-Linear Algebraic Equations) University of Engineering and Technology Lahore, Pakistan 2004
Experience
Professor Namal Univesity Mianwali 02-Sep-2024 - continue
Professor University of Central Punjab Lahore,Pakistan 01-Nov-2021 - 31-Aug-2024
Associate Professor University of Central Punjab Lahore,Pakistan 01-Mar-2019 - 31-Oct-2019
Assistant Professor University of Central Punjab Lahore,Pakistan 23-Aug-2010 - 28-Feb-2019
Lecturer University of Central Punjab Lahore,Pakistan 01-Nov-2005 - 21-Aug-2010
Honours and Awards
Best Researcher Award, Faculty of Science and Technology, UCP for year 2022 - 01-Mar-2023
Dean’s Certificate for Outstanding Performance in Research for year 2019 - 23-Dec-2019
Special award for best performance in year 2006, UCP Lahore - 16-Nov-2006
Journal Publications
Modeling the impact of optimized treatment patterns on dengue transmission dynamics 29-Oct-2025 Chaos 35, 103148 (2025)
Stochastic Analysis of Pine Wilt Epidemic Model With Dynamically Consistent Approximation 13-Oct-2025 Complexity, 13:4099463 (2025)
Stochastic fractional order model for the computational analysis of computer virus 30-Sep-2025 Scientific Reports, 15:33951 (2025)
MATHEMATICAL AND NUMERICAL INVESTIGATIONS OF FRACTIONAL STOCHASTIC EPIDEMIC MODEL 30-Sep-2025 THERMAL SCIENCE: Year 2025, Vol. 29, No. 5A, pp. 3669-3679
Analyzing optimal control techniques in a nonlinear fractional Rubella model with the Atangana–Baleanu derivative 29-Aug-2025 Computers in Biology and Medicine, 197:110954 (2025)
Numerical solutions for norovirus epidemic spread: implications for public health control 13-Aug-2025 Scientific Reports, 15: 29657 (2025)
Numerical modelling and stability analysis of fractional smoking model 28-Jul-2025 Computer Methods and Programs in Biomedicine Update, 8:100201 (2025)
A statistical estimation of fractional order cryptosporidiosis epidemic model 23-Apr-2025 Scientific Reports, 15:14002 (2025)
Analytical and numerical investigations of optimal control techniques for managing Ebola virus disease 22-Apr-2025 European Physical Journal Plus, 140:329 (2025)
Dynamical analysis of scabies delayed epidemic model with second-order global stability 21-Apr-2025 PLOS ONE, 20(4), 2025
Numerical Investigation of a Chlamydia Epidemic Model 20-Apr-2025 Malaysian Journal of Fundamental and Applied Sciences. 21(2), 2025
Treatment and delay control strategy for a non-linear rift valley fever epidemic model 11-Apr-2025 AIP Advances, 14:115104 (2024)
Investigation of diabetes mellitus transmission in humans by using time delay tool and numerical treatment approach 05-Mar-2025 Modeling Earth Systems and Environment 11:113 (2025)
Computational analysis of a mathematical model of hookworm infection 24-Feb-2025 Scientific Reports, 15:6668 (2025)
Dynamics of bi-susceptibility patterns in Covid-19 outbreaks and associated abstain strategies 04-Feb-2025 Modeling Earth Systems and Environment 11:198 (2025)
Numerical Modelling of SEIR on Two-Dose Vaccination Against the Rubella Virus 10-Jan-2025 Malaysian Journal of Fundamental and Applied Sciences, 21(1),2025
Exploring optimal control strategies in a nonlinear fractional bi-susceptible model for Covid-19 dynamics using Atangana-Baleanu derivative 30-Dec-2024 Scientific Reports 14,31617(2024)
Treatment and delay control strategy for a non-linear rift valley fever epidemic model 04-Nov-2024 AIP Advances 14, 115104 (2024)
Nonstandard Computational and Bifurcation Analysis of the Rabies Epidemic Model 30-Oct-2024 Journal of Mathematics, Vol.2024:3909089 (2024)
Numerical Study of the Reaction Diffusion Prey–Predator Model Having Holling II Increasing Function in the Predator Under Noisy Environment 30-Sep-2024 Journal of Nonlinear Mathematical Physics, Vol.31:68 (2024)
Numerical modeling of reaction–diffusion e-epidemic dynamics 21-May-2024 The European Physical Journal Plus,139: 431 (2024)
Computer modeling: A gateway to novel advancements in solving real-life problems 18-May-2024 Biomedical Signal Processing and Control. Vol. 95, No. 106414, (2024)
Multiwaves, breathers, lump and other solutions for the Heimburg model in bio-membranes and nerves 03-May-2024 Scientific Reports, Vol. 14, No. 10180 (2024)
Fractional epidemic model of coronavirus disease with vaccination and crowding effects 08-Apr-2024 Scientific Reports, Vol. 14, No. 8157 (2024)
Investigation of soliton structures for dispersion, dissipation, and reaction time-fractional KdV–burgers–Fisher equation with the noise effect 28-Feb-2024 International Journal of Modeling and Simulation, 1-17 (2024)
Developing computationally efficient optimal control strategies to eradicate Rubella disease 01-Feb-2024 Physica Scripta. Vol.99, No.3, (2024)
Analytical and numerical explorations of optimal control techniques for the bi-modal dynamics of Covid-19 16-Jan-2024 Nonlinear Dynamics. Vol.112, 3977-4006(2024)
Numerical investigation of a typhoid disease model in fuzzy environment 11-Dec-2023 Scientific Reports, 13, 21993 (2023)
Computational study of a co infection model of HIV/AIDS and hepatitis C virus models 11-Dec-2023 Scientific Reports , 13, 21938 (2023)
Numerical simulations with mitigation strategies on Barabási–Albert network for the spread of coronavirus in Pakistan 03-Nov-2023 The European Physical Journal Plus,138: 972 (2023)
Courses
  • Mathematical Biolgy
  • Mathematical Modeling and Simulations
  • Complex Analysis
  • Numerical Analysis
  • Differential Equations
  • Applied Calculus
Optimally analyzed fractional Coronavirus model with Atangana-Baleanu derivative Deanship of Scientific Research, King Faisal University, Al Ahsa, KSA. SAR 10000 (Rs. 0.40 M) Project No. GRANT3995.
A non-standard computational method for stochastic anthrax epidemic model Deanship of Scientific Research, King Faisal University, Al Ahsa, KSA. SAR 5000(Rs. 0.76 M) Project No. GRANT3466.
Implementation of computationally efficient numerical approach to analyze a Covid-19 pandemic model Deanship of Scientific Research, King Faisal University, Al Ahsa, KSA. SAR 15000(Rs. 1.1 M) Project No. GRANT2758.