Dr. R. Prem Kumar has actively contributed to the field of Mathematical Biology and Epidemiological Modelling, particularly focusing on infectious disease dynamics, optimal control theory, sensitivity analysis, and stability analysis of nonlinear mathematical models. His research work primarily addresses real-world public health challenges such as COVID-19, Dengue, Mpox, Omicron variant transmission, and co-infection models, with emphasis on data-driven validation and policy-relevant control strategies.
Dr. R. Prem Kumar has published 12 research papers in reputed international peer-reviewed journals indexed in SCI/Scopus, including journals such as Nonlinear Analysis: Real World Applications, Mathematical Population Studies, Soft Computing, International Journal of Computer Mathematics, Alexandria Engineering Journal, and Theory in Biosciences.
During his doctoral research, Dr. R. Prem Kumar focused on the development and analysis of nonlinear epidemic models incorporating reinfection, vaccination strategies, lockdown effects, and optimal control techniques. These works contributed to understanding the transmission dynamics and effectiveness of intervention strategies in pandemic situations, particularly COVID-19 and related infectious diseases.
After completion of his Ph.D., Dr. R. Prem Kumar extended his research to more advanced and emerging topics such as co-infection models, multi-serotype dengue models, Mpox transmission dynamics, sensitivity analysis of epidemiological parameters, and data-driven validation approaches. These studies provide deeper insights into public health decision-making, disease prevention strategies, and mathematical prediction of epidemic patterns.
Mathematical Modelling of Infectious Diseases
Nonlinear Dynamical Systems
Stability Analysis (Local and Global Stability)
Optimal Control Theory in Epidemiology
Sensitivity and Bifurcation Analysis
Multi-compartment Epidemic Models
Co-infection Models (COVID-19, Dengue, Mpox)
Vaccination and Treatment Strategy Modelling
Data-driven validation of mathematical models
Dr. R. Prem Kumar’s research contributions support the advancement of interdisciplinary applications of mathematics in public health, biology, and epidemiology, aligning with current global research priorities in disease modelling and control strategies.
Research Publications – Dr. R. Prem Kumar
Dynamical analysis of novel COVID-19 epidemic model with non-monotonic incidence function. Journal of Public Affairs, 2021.
DOI: 10.1002/pa.2754
Optimal control design incorporating vaccination and treatment on six compartment pandemic dynamical system. Results in Control and Optimization, 2022.
DOI: 10.1016/j.rico.2022.100115
Preventive control strategy on second wave of Covid-19 pandemic model incorporating lock-down effect. Alexandria Engineering Journal, 2022.
DOI: 10.1016/j.aej.2021.12.066
Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive. Mathematics and Computers in Simulation, 2023.
DOI: 10.1016/j.matcom.2022.07.012
Global stability and sensitivity analysis of parameters of Omicron variant epidemic in diverse susceptible classes incorporating vaccination stages. Soft Computing, 2023.
DOI: 10.1007/s00500-023-09170-0
Dynamical behavior and sensitivity analysis of a dengue reinfection model for vertical transmission incorporating multiple control strategies. Communications in Mathematical Biology and Neuroscience, 2023.
DOI: 10.28919/cmbn/8319
Optimal control for dengue transmission based on a model with reinfection and treatment. Mathematical Population Studies, 2024.
DOI: 10.1080/08898480.2024.2394659
Global stability and sensitivity analysis of dengue transmission using four host and three vector classes along with control strategies. International Journal of Computer Mathematics, 2024.
DOI: 10.1080/00207160.2024.2431683
Dynamical analysis of SARS-CoV-2-Dengue co-infection mathematical model with optimum control and sensitivity analyses. Nonlinear Analysis: Real World Applications, 2024.
DOI: 10.1016/j.nonrwa.2024.104175
Control strategies on a two-serotype dengue transmission model with saturated incident function. International Journal of Dynamics and Control, 2025.
Infection dynamics and control strategies in a nonlinear epidemic model. Discover Public Health, 2026.
DOI: 10.1186/s12982-026-01801-9
Mathematical modeling and transmission insights into Mpox: dynamics, control measures, and data-driven validation. Theory in Biosciences, 2026.
DOI: 10.1007/s12064-026-00457-y