Research at the University of Alberta: As a Postdoctoral Fellow at the University of Alberta, I am leading a research project investigating the impact of toxic greenhouse gases on ecosystem functioning. Our study integrates a theoretical framework with ongoing biological experiments conducted in collaboration with the Department of Biological Sciences at the University of Alberta. The research focuses on assessing the threat posed by the unprecedented rise in greenhouse gases (GHGs) to species interactions. Additionally, I am exploring the physiological and morphological changes in mutant species resulting from climate change.
Research at IIT B: As a postdoctoral fellow at the National Disease Modelling Consortium at the Department of Mathematics IITB, I was leading the disease group of Respiratory Syncytial Virus (RSV) under the mentorship of Prof. Siuli Mukhopadhyay and Prof. Subhra Sankar Dhar of IITK. The project focussed on estimating the state-wise burden of RSV in India among children of less than 5 years of age. However, due to the lack of sufficient data in the initial stages, statistical modelling approaches like regression models cannot be directly applied in these scenarios. Therefore, a systematic literature review and meta-analysis are being employed to calculate a pooled national estimate of the disease.
Research at IIT K: As a doctoral student at the Department of Mathematics & Statistics IITK, I have worked on five research projects. I focused on the application of multiple timescale dynamical systems to study the complex interaction in ecological systems. The slow and fast dynamics of the interacting species in the complex system were studied with the help of the geometric singular perturbation theory (gspt). These systems can capture a sudden outbreak in the population of a species, followed by a slow decline. The thresholds for these critical transitions were determined analytically using the theory of invariant manifold and gspt. I have shown that the catastrophic shifts in the ecosystem can be well understood using the mathematical framework of slow-fast systems.
The silent threat of methane to ecosystems: Insights from mechanistic modelling, PR Chowdhury, Tianxu Wang, Shohel Ahmed, Hao Wang, arXiv:2501.14161, (2025).
A two-timescale model of plankton-oxygen dynamics predicts formation of Oxygen Minimum Zones and global anoxia, PR Chowdhury, Malay Banerjee, Sergei Petrovskii, Journal of Mathematical Biology 89 (1), 8 (2024).
Singular Bautin bifurcation analysis of a slow–fast predator–prey system, T Saha, PR Chowdhury, PJ Pal, M Banerjee, Nonlinear Dynamics (2024).
Attractors and long transients in a spatio-temporal slow–fast Bazykin’s model, PR Chowdhury, S Petrovskii, V Volpert, M Banerjee, Communications in Nonlinear Science and Numerical Simulation (2023).
Coexistence of chaotic and non-chaotic attractors in a three-species slow–fast system, PR Chowdhury, M Banerjee, S Petrovskii, Chaos, Solitons & Fractals (2023).
Stationary and non-stationary pattern formation over fragmented habitat, M Banerjee, S Pal, PR Chowdhury, Chaos, Solitons & Fractals (2022).
Canards, relaxation oscillations, and pattern formation in a slow-fast ratio-dependent predator-prey system, PR Chowdhury, M Banerjee, S Petrovskii, Applied Mathematical Modelling (2022).
Effect of slow–fast time scale on transient dynamics in a realistic prey-predator system, PR Chowdhury, S Petrovskii, M Banerjee, Mathematics (2022)
Oscillations and pattern formation in a slow–fast prey–predator system, PR Chowdhury, S Petrovskii, M Banerjee, Bulletin of mathematical biology (2021).