Selim Reja - Research Area & Publication

Research Area

My research focuses on the mathematical modelling and analysis of infectious disease dynamics in ecological systems. I analyze deterministic models using systems of Ordinary Differential Equations (ODEs) and stochastic models formulated through Stochastic Differential Equations (SDEs), utilizing Itô calculus to capture the role of environmental randomness. My work aims to understand how demographic heterogeneity, transmission mechanisms, and ecological interactions influence disease spread, persistence, and control. I integrate model-based approaches with data fitting and statistical analysis to validate models and extract biologically meaningful insights, providing a robust framework for forecasting outbreaks and evaluating control strategies in both structured populations and fluctuating environments.

Member:

1. Society for Mathematical Biology

2. Ecological Society of America

3. VIMC Measles Analytics Hub

Publication:

1. Pakhira, M., Biswas, S., Reja, S., & Bhattacharya, S. (2026). Trade-off between Allee remediation and disease transmission for adaptive survival: A mathematical model on Allee-exposed species. Mathematical Biosciences, 109816.

2. Reja, S., Chattopadhyay, A., Daniel Makinde, O., & Bhattacharya, S. (2026). A new conceptual disease triangle DST framework for balancing two extremes: Disease eradication and species extinction. Chaos: An Interdisciplinary Journal of Nonlinear Science, 36(2).

3. Sarwardi, S., Reja, S., Al Basir, F., & Raezah, A. A. (2025). Delay-induced bubbling in a harvested plankton-fish model: A study on the role of two fish predators: S. Sarwardi et al. Nonlinear Dynamics, 113(16), 22143-22165.

4. Al Basir, F., Raezah, A. A., Abraha, T., & Reja, S. (2025). Studying the Role of Impulsive Antiviral Therapy for SARS‐CoV‐2 Treatment Using a Delay Induced Mathematical Model. Journal of Mathematics, 2025(1), 1696404.

5. Raezah, A. A., Blyuss, K. B., Reja, S., & Al Basir, F. (2025). Impact of whitefly maturation on mosaic disease dynamics using a stage-structured model. AIMS Mathematics, 10(10), 24779-24803.

6. Reja, S., Al Basir, F., & Aldawsari, K. (2025). A discrete-time mathematical model for mosaic disease dynamics in cassava: Neimark-Sacker bifurcation and sensitivity analysis. AIMS Math, 10, 18295-320.

7. Reja, S., Ghosh, S., Ghosh, I., Paul, A., & Bhattacharya, S. (2022). Investigation and control strategy for canine distemper disease on endangered wild dog species: a model-based approach. SN Applied Sciences, 4(6), 176.

8. Paul, A., Reja, S., Kundu, S., & Bhattacharya, S. (2021). COVID-19 pandemic models revisited with a new proposal: plenty of epidemiological models outcast the simple population dynamics solution. Chaos, Solitons & Fractals, 144, 110697.