Mathematical Modelling


The department researches broadly interdisciplinary studies using mathematical finance, computational biology, game theory, network theory, complexity theory, fluid dynamics, and medical imaging.

Study Of Community-Based Resource Management Of Water In Uttarakhand
This interdisciplinary project studies community-based natural water resource management (CBNRM) practices in some select villages of the Tehri Garhwal district. It applies network theory as a formal method. It proposes a structural framework to study and capture the dynamics of coupled social and ecological systems concerning the district's CBNRM strategies for water and water resources.

Complexity, Water, Pastoralism, And Adaptation In Thar
This project comprises the disciplines of mathematics, history, sociology, and ecology. It seeks to explore the evolutionary behavior of pastoral nomadism in the South Asian context, specifically as it sustains today in the Indian Thar Desert region. The project aims to study and understand the interaction dynamics of the Solanki Rajput pastoralism social-ecological system of the Jaisalmer district of Rajasthan state, India, from a complex system-theoretic perspective.

Numerical Simulation Of Wind Turbine Rotations
The design of wind turbine blades or wind turbines, in general, is an active field of research. The computational approach is to simulate airflow around a virtual wind turbine for various blade designs and calculate resultant torques. Most reported Computational Fluid Dynamics (CFD) studies in this area either use a static mesh approach or proprietary software. The static mesh approach is slowly being phased out because of the overly cumbersome mesh generation process. Works by proprietary codes can not be reproduced by most other labs. We are studying the aerodynamics of wind turbines through the CFD simulations based on Overset method.

Modeling Of Distribution And Disease Burden Of OAE
Onchocerciasis is caused by the worm Onchocerca volvulus and affects many people in remote areas in Africa (99% of all cases) and Latin America and is associated with skin disease, blindness, and several forms of epilepsy. Recently, the NSETHIO team (ERC project from the University of Antwerp) and its collaborators collected information on the prevalence and incidence of epilepsy, seropositivity in both people with and without epilepsy, vector biology, infection and biting rates, and level of disability from endemic areas of many countries in Africa. In this collaborative project, we aim to use these numerous epidemiological datasets collected by the NSETHIO consortium and apply stochastic modeling techniques to estimate the disease burden of OAE and investigate to what extent existing control strategies can reduce OAE and NS disease prevalence compared to intensified intervention strategies.

Game-Theoretic Approach Of Modeling Antibiotic Drug Resistance
Antibiotic Resistance (AR) or drug resistance is a global issue. The challenges associated with controlling drug resistance, particularly in the Indian context, are many and multifaceted. Along with the extensive use of antibiotics in hospitals and farming, several social factors, such as self-medication, also promote antibiotic use (misuse) in the community. The project aims to develop mathematical models using Game theory, Nonlinear Dynamics and Statistical Inference approach to provide valuable insight by identifying critical factors of the emergence of antibiotic resistance and the role of social factors and economic growth in it.


  • Dr. Ajit Kumar, Assistant Professor
  • Dr. Samit Bhattacharyya, Associate Professor
  • Dr. Sudeepto Bhattacharya, Professor, and HoD
  • Dr. Ajay Dandekar, Chairperson, Center for Public Affairs and Critical Theory (C-PACT)


  • Jaskaran Singh Saini, B.Tech. Mechanical Engineering, Class of 2018
  • Praveen Laws, Research Scholar, Mechanical Engineering
  • TumpaMahato, Research Assistant