Nitu Kumari

Research Group

Current research scholars, alumni and M.Sc. project students of the lab.

Research scholars

Anurag Singh

Anurag Singh

Ph.D. (Feb. 2022 – Present)

Email
d21093@students.iitmandi.ac.in
Thesis
Data-driven modeling of ecological systems using SINDy & PINNs
Webpage
Personal site
Diksha Rani

Diksha Rani

Ph.D. (Aug. 2025 – Present)

Email
ud25004@students.iitmandi.ac.in
Specialization
Machine Learning in Dynamical Systems

Alumni

Dr. Sandeep Sharma

Dr. Sandeep Sharma

Ph.D. 2012 – 2017

Topic
Modeling the dynamics of waterborne diseases under the influence of environmental pollution
Now
Assistant Professor at DIT, Dehradun
Dr. Vikas Kumar

Dr. Vikas Kumar

Ph.D. 2016 – 2021

Topic
Study of Chaos and Pattern Formation Analysis in Ecological Systems
Now
Assistant Professor at Ramjas College, Delhi University
Dr. Nishith Mohan

Dr. Nishith Mohan

Ph.D. 2016 – 2021

Topic
Nonlinear Analysis of Reaction-Diffusion Systems Describing Ecological Phenomenon
Now
Post Doctoral Fellow at Technische Universität Kaiserslautern, Germany
Dr. Sumit Kumar

Dr. Sumit Kumar

Ph.D. 2019 – 2024

Topic
Mathematical Modeling and Study of Prevention Policies for Zoonotic Diseases
Now
Post Doctoral Fellow at National Disease Modelling Consortium, IIT Bombay
Shivesh Singh

Shivesh Singh

M.Tech-R 2023 – 2025

Topic
Machine Learning Approaches for Spatiotemporal Modelling of Environmental and Demographic Changes.
Now
Data Analytics Engineer (GEN-AI) at LTIMINDTREE
Kanav Singh Rana

Kanav Singh Rana

2022 – 2026

Topic
Data-driven study for linearization of nonlinear partial differential equations using Koopman operator theory
Now
Institute Research Fellow at IIT Mandi (August 2026 – Present)

M.Sc. project students

Batch 2024–20263 students
  • Ms. SaloniEcological Modelling.
  • Mr. AnshulDisease Modelling.
  • Mr. ArpitNonlinear Dynamics & Machine Learning.
Batch 2023–20254 students
  • Ms. TannuImpact of Seasonality on Modelling and Prediction of MonkeyPox using Deep learning Techniques.
  • Ms. Diksha RaniParameter Estimation of Epidemiological Models Using Harmony Search and Statistical Methods.
  • Mr. Suresh TripathiPrey predator model with time delay and good subsidies.
  • Mr. Praveen KumarDeep Learning Models for solving Differential Equations and Time Series Forecasting.
Batch 2022–20246 students
  • Ms. Ipshita PrasadComprehensive Analysis of Compartmental Modeling of COVID-19: Qualitative Insights and Parameter Estimation
  • Ms. Aparna JindalDiabetes Prediction Using Data Mining Algorithms
  • Mr. Md AkibModeling Monkeypox Transmission Dynamics: A Compartmental Approach Involving Human and Rodent
  • Mr. Birend SinghReview of Machine Learning Algorithms and Data Mining
  • Mr. Sagar KumarImpact of dual dose vaccination on covid-19 dynamics: A Mathematical Modeling Perspective
  • Mr. K.Venkata KrishnaStability analysis of a prey–predator model incorporating a prey refuge
Batch 2021–20235 students
  • Mr. Zeeshan MouzamModelling The Effect Of Vaccination On The Spread of COVID-19 Using Real Data: A Case Study Of Indonesia
  • Mr. Rovin SharmaStudy of Ratio-dependent Prey-Predator Model with Predator-taxis and Allee effect
  • Ms. Nikita RaniStudy of Various Coronavirus Models Using Next Generation Matrix Technique
  • Ms. SimranModelling and Parameter Estimation of Covid-19 Pandemic With Immunity Loss : A Case Study Of Brazil
  • Mr. PrateekImpact of Education on Rumour Propagation and its control Strategies using Forgetting Mechanism
Batch 2019–20214 students
  • Ms. Anshika DubeyStrategies for the existence of spatial patterns in predator prey communities generated by cross diffusion.
  • Mr. AshutoshStationary problem of predator prey system with nonlinear diffusion effects
  • Mr. Vikash BhariaStudy of nonlinear reaction diffusion system for understanding predator prey dynamics
  • Mr. Bhukya Ram KumarStationary problem of Predator-Prey System with nonlinear diffusion effect.
Batch 2018–20206 students
  • Ms. Poonam YadavStability Analysis of Dynamical Systems
  • Mr. Mohit KumarDynamics of Prey Predator Model with Monotonic functional response
  • Ms. Namrata TripathiNonlinear Analysis of Strongly Coupled Parabolic Systems using Fixed Point Index Methods
  • Mr. RahulWeak Nonlinear Analysis of Coupled Parabolic Systems
  • Mr. Mahesh OlaStudy of Parabolic Partial Differential Equations
  • Ms. Anju BawraApplications of Dynamical Systems in Real World Problems (jointly guided with Dr. Syed Abbas)
Batch 2017–20193 students
  • Mr. Vishnu Pratap SinghChaos Study in Bird Song
  • Mr. Abhishek KumarStudy of Spatially extended Non-Linear Dynamical Systems
  • Ms. Ayushi ChauhanOn the Study of Non-Linear Dynamical Systems with Cross- Diffusion
Batch 2016–20181 students
  • Mr. Naresh KumarMathematical Language Modelling