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Research Summary
My research explores the intersection of mathematics, biology, and statistics, with a focus on understanding infectious disease transmission dynamics and mitigation strategies. Leveraging tools from nonlinear dynamics, dynamical control theory, and statistical modeling, I develop and analyze mathematical models to study how diseases spread and how interventions can alter their course. A key aspect of my work involves epidemic forecasting and time-series analysis to derive data-driven insights for public health decision-making. In my PhD thesis, I investigated a range of epidemic models incorporating different intervention strategies. This work involved; Designing novel transmission models to address complex biological and epidemiological questions, Conducting rigorous mathematical analysis of nonlinear dynamical systems to uncover the mechanisms driving disease spread, Performing parameter estimation and model simulations when empirical data were available. By unifying mathematical rigor with biological realism, my work advances population biology and applied epidemiology, offering scalable tools for outbreaks ranging from seasonal influenza to novel pathogens (e.g., SARS-CoV-2). I collaborate with public health agencies to ensure models align with on-the-ground needs.
Training/Schools/Workshops
Training/Schools/Workshops
AESIM-2023 (Asian and European Schools in Mathematics) on Mathematics for Health Sciences (28th Dec 2023 - 06th Jan. 2024) organised by Department of Mathematics, BITS Pilani, Pilani Campus funded by CIMPA and EMS-CDC (Committee for Developing Countries of European Mathematical Society).
An International Seminar on Mathematical Modeling and Turing’s Pattern Formation (11th - 15th Sept. 2023) organised by School of Advanced Sciences, Vellore Institue of Technology, Vellore, India.
WoNPMB SERB funded workshop on Nonlinear Phenomena in Mathematical Biology (19th - 23rd Dec., 2022) organised by ABV-Indian Institute of Information Technology and Management, Gwalior, India.
CIMPA (Centre International de Mathématiques Pures et Appliquées) Summer School in Mathematical Epidemioloy (09th - 20th May, 2022), organised by Dhaka University, Dhaka, Bangladesh.
Four-day Workshop on Bio-Mathematics (8th - 11th Dec., 2020) organized by IIT Patna, India.
Workshop on Differential Equations and Their Application (27th - 28th November, 2020) organized by IIT Mandi, India
Workshop cum Winter School on Methods for Nonlinear Dynamical Systems and Chaos (23rd - 27th Dec., 2019) organized by National Institute of Technology (NIT), Uttarakhand at Settelite Camps MNIT, Jaipur, India and sponsored by TEQIP-III
CIMPA Summer School in Mathematical Biology (17th - 26th June, 2019), at Kathmandu, Nepal.
Advanced Instructional School on Mathematical Biology (3rd - 15th Dec., 2018) organized by National Centre for Mathematics (A joint centre of TIFR and IIT Bombay) at Institute of Mathematical Science (IMSc), Chennai, India
Workshop on Mathematical Modelling and Simulation (14th - 18th March, 2015) organised by Central University of Rajasthan, Ajmer, India.
Professional Service: Reviewer for journals
Professional Service: Reviewer for journals
Nonlinear Dynamics
Journal of Applied Mathematics and Computing
Scientific Reports
BMC Infectious Diseases
Mathematical and Computer Modelling of Dynamical Systems
Journal of Biological Dynamics
Mathematical Methods in Applied ScienecsSciences
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