Research Area
Sonu's current research interest lies in the intersection of Mathematics and Biology, i.e., Mathematical Biology or Biomathematics. His work's prominent focal areas include mathematical modeling, dynamical (stability/bifurcation) analysis, and applying optimal control interventions to epidemiological problems.
Projects and Dissertations
(Short-term/long-term projects)A SLAI^3R Model: From Kermack and McKendrick Onwards
A mini-group project (supervised by Prof. Gergely Röst) - carried out during the Helsinki Summer School in August 2022.
Institute: Biomathematics Group, University of Helsinki.
Mathematical Epidemiology of Typhoid Fever
A short project for the course on Mathematical Modelling - carried out during Sept-Nov 2020.
Institute: Department of Mathematics, Indian Institute of Technology Patna.
Modeling & Simulation of 3D MHD Nanofluid Flows over a Stretching Surface
SERB (DST, Govt. of India) sponsored research project - carried out from Nov 2019 to Aug 2020.
Institute: Department of Mathematics, National Institute of Technology Jamshedpur.
Controllability, Observability, and Stability of Artificial Satellite Problem
Final year M.Sc. research project - carried out during Jan-May 2017.
Institute: Department of Mathematics, National Institute of Technology Jamshedpur.
Mathematical Modelling and Controllability of Satellite Problem with its Simulation
DST, Govt. of India & IIT Bombay sponsored Winter Research Internship (NDEA TCA - 2015) - carried out in Dec 2015.
Institute: Department of Mathematics, Indian Institute of Space Science and Technology Trivandrum.
Publication and Dissemination
(Research papers/talks/posters)Published/Communicated
Sonu, Akriti Srivastava, Prashant K. Srivastava. Modeling Direct and Indirect Transmission of Conjunctivitis with Non-monotonic and Saturated Incidence: Stability and Control Analysis. Mathematical Methods in the Applied Sciences - Under Review.
Anuj K. Umrao, Sonu, Prashant K. Srivastava. Nonlinear dynamics in a fear-driven predator-prey system: bistability, bifurcations, hydra effect, and optimal harvesting. Mathematical Methods in the Applied Sciences - Under Review.
Sonu, Tanuja Das, Prashant K. Srivastava. Impact of infectious density-induced additional screening and treatment saturation on COVID-19: Modeling and cost-effective optimal control. Infectious Disease Modelling (IDM). 9(2), 569-600, 2024. DOI link.
Sonu, Prashant K. Srivastava. Cost-effective optimal control analysis of a COVID-19 transmission model incorporating community awareness and waning immunity. Computational and Mathematical Biophysics (CMB). 11.1: 20230154, 2023. DOI link.
Akriti Srivastava, Sonu, Prashant K. Srivastava. Nonlinear dynamics of an SIRI model incorporating the impact of information and saturated treatment with optimal control. European Physical Journal Plus (EPJP). 137, 1028, 2022. DOI link.
Sonu. Controllability, Observability and Stability of Satellite Problem: Mathematical Modelling, Controllability, Observability and Stability Analysis of an Artificial Satellite Problem. Germany, LAP LAMBERT Academic Publishing, ISBN: 9783330343146, 2017. URL. (Also available at the German National Library in Leipzig and Frankfurt (catalog link) and on Amazon).
Sonu. Mathematical Modelling and Control Theory Analysis of Artificial Satellite. Proceedings of the 7th National Conference on Multidisciplinary Research in Science and Technology, International E-Publication, International Science Congress Association (ISCA). ISBN: 978-93-84659-59-2, pp.25-43, 2016.
To be Communicated Soon
Sonu (with Prashant K. Srivastava). Cost-effective optimal control analysis of an Influenza-Pneumonia co-transmission model with re-infection and treatment saturation - IMPROVISING FINDINGS, DRAFTING MANUSCRIPT.
Sonu (with Sayan Acharya & Prashant K. Srivastava). From crisis to control: drawing important lessons for the future through an analysis of optimal strategies in India’s third wave of COVID-19 - IMPROVISING FINDINGS, DRAFTING MANUSCRIPT.
Sonu (with Prashant K. Srivastava). Modeling and cost-effective optimal control analysis for co-infection of TB and COVID-19 with immunity loss and reinfection - PAPER IN EARLY STAGES.
Talks/Posters (Invited/Contributed)
Contributed talk on "Cost-effective Optimal Control Analysis of a COVID-19 Transmission Model Incorporating Community Awareness and Loss of Immunity" (joint work with Prashant K. Srivastava) at the National Conference on Differential Equations: Theory, Method, and Applications (NCDE-2023).
Invited talk on "EpiMaths: The Life Saver!" at National Mathematics Day (NMD-2022).
Contributed talk on "Optimal control analysis of the COVID-19 model with infectious density-induced additional screening and treatment saturation" (joint work with Tanuja Das & Prashant K. Srivastava) at the International Conference on Advances in Biomathematics (ICABM-2022).
Invited talk on "Application of Optimal Control Theory in Epidemiology" at National Mathematics Day (NMD-2021).
Contributed poster on "Cost-effective Optimal Control Intervention Strategies Implemented on a COVID-19 Model Under the Influence of Awareness: A Case Study on India" (joint work with Prashant K. Srivastava) at the International Workshop on Mathematical Modelling and Control for Healthcare and Biomedical Systems (MCHBS-2021).
Contributed talk on "The Effects of Thermal Radiation and Hall Current on the Unsteady Three-Dimensional MHD Couple-Stress Casson Nanofluid Flow" (joint work with R. Nandkeolyar & Vivek K. Sinha) at the 3rd International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2020).
Selected Research and Academic Activities
(Workshops/conferences/webinars/seminars/programs/etc.) Coordinating: With the Organising Committee of the Instructional School for Mathematical Sciences (ISMS-2023)
- Specifically working with the Souvenir Team (Designing & Editing)
- Also, worked as an Instructor and Tutor in Phase II
- Jointly organized by the Indian Institute of Technology (IIT Patna), Bihar Mathematical Society (BMS), and Education Department (Govt. of Bihar)
- Phase I: June 16-30, 2023, Phase II: July 01-15, 2023
Attended: A short course on Cost Effectiveness for Environmental Health Policy
- Also worked on daily group projects as part of the course curriculum (under the guidance of Prof. David Canning)
- Centre for Chronic Disease Control (CCDC), Public Health Foundation of India (PHFI), and Harvard T. H. Chan School of Public Health (HSPH)
- May 15-19, 2023
Presented: A research paper entitled "Cost-effective Optimal Control Analysis of a COVID-19 Transmission Model Incorporating Community Awareness and Loss of Immunity" in the National Conference on Differential Equations: Theory, Method, and Applications (NCDE-2023)
- Also worked as a Student Volunteer (Designed & edited the Book of Abstracts)
- Department of Mathematics, IIT Patna
- March 17-19, 2023
Presented: A 'My Research in 3 Minutes' Talk entitled "Is there something between precaution and cure!? If yes, how is that so important?" at the Research Scholars' Day 2023 (RSD-2023)
- Also presented a poster and won Best Poster Award in Mathematics
- Indian Institute of Technology Patna
- March 04-05, 2023
Participated: In the National Annual PMRF Symposium 2023
- One among 133 invited/selected participants (out of 2500+ PMRFs all over the country)
- The PMRF National Coordinating Committee, Indian Institute of Technology Madras
- February 17-18, 2023
Delivered: An invited talk entitled "EpiMaths: The Life Saver!" at the National Mathematics Day (NMD-2022)
- Department of Mathematics, Government PG Nehru College Jhajjar (Virtual Mode)
- December 22, 2022
Attended: Workshop on Nonlinear Phenomena in Mathematical Biology (WoNPMB-2022)
- Department of Applied Sciences, ABV-Indian Institute of Information Technology and Management Gwalior (Virtual Mode)
- December 19-23, 2022
Coordinated: With the Technical Team of the Instructional School for Mathematical Foundation (ISMF-2022)
- Specifically worked with the Souvenir Team (Designing & Editing)
- I also worked as an Instructor and Tutor
- Jointly organized by the Indian Institute of Technology (IIT Patna), Bihar Mathematical Society (BMS), and Bihar Education Project Council (BEPC)
- Phase I: October 08-23, 2022, Phase II: November 05-19, 2022
Attended: The Helsinki Summer School on Mathematical Ecology and Evolution 2022
- Presented a mini-group project: A SLAI^3R Model: From Kermack and McKendrick Onwards
- Biomathematics Group of the University of Helsinki, Finland
- August 21-28, 2022
Presented: A research paper entitled "Optimal Control Analysis of COVID-19 Model with Infectious Density Induced Additional Screening and Treatment Saturation" in the International Conference on Advances in Bio-Mathematics (ICABM-2022)
- Amity School of Applied Sciences, Amity University (Lucknow Campus)
- July 21-23, 2022
Attended: A Course on Mathematical Models in Epidemiology (MME)
- BCAM – Basque Center for Applied Mathematics, Bilbo, Spain (Virtual Mode)
- March 25 - June 22, 2022
Presented: A research poster entitled "Optimal Control of Diseases with Reinfection under the Influence of Information and Saturated Treatment" in the Research Scholars' Day 2022 (RSD-2022)
- Indian Institute of Technology Patna
- March 23-24, 2022
Delivered: An invited talk entitled "Application of Optimal Control Theory in Epidemiology" at the National Mathematics Day (NMD-2021)
- Department of Mathematics, IIT Patna (Virtual Mode)
- December 22, 2021
Presented: A research poster entitled "Cost-effective Optimal Control Intervention Strategies Implemented on a COVID-19 Model Under the Influence of Awareness: A Case Study on India" in the Mathematical Modelling and Control for Healthcare and Biomedical Systems (MCHBS-2021)
- Italian National Research Council (CNR), Italy (Virtual Mode)
- September 28-30, 2021
Organized: The Shodh Aagaaz- an Orientation Programme for the New Masters & Ph.D. Entrants of IIT Patna.
- This program was a new initiative proposed and designed by me under the Students' Gymkhana, IIT Patna (Virtual Mode)
- August 14-15, 2021
Attended: The Annual Meeting of the Society of Mathematical Biology (SMB-2021)
- Society of Mathematical Biology (Virtual Mode)
- June 13-17, 2021
Attended: Workshop on Mathematical and Computational Biology
- European Society for Mathematical and Theoretical Biology (Virtual Mode)
- June 10-11, 2021
Organized: A Webinar on Get Started with MATLAB
- Organized on my personal level for PG students of the Department of Mathematics, IIT Patna
- February 20-21, 2021
Coordinated & Led: The Editing & Research Team of the Research Scholars' Day (RSD-2021)
- Indian Institute of Technology Patna (Semi-virtual Mode)
- March 20, 2021
Attended: Workshop on Pandemic and Socio-Economic Determinants: The Uses of Mathematics and Computations Behind the Modeling to Inform Decision Makers
- Department of Mathematics, NIT Uttarakhand (Virtual Mode)
- February 8-12, 2021
Presented: A research work (contributed paper) entitled "The Effects of Thermal Radiation and Hall Current on the Unsteady Three-Dimensional MHD Couple-Stress Casson Nanofluid Flow" in the 3rd International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2020)
- Department of Mathematics, NIT Jamshedpur (Virtual Mode)
- December 21-22, 2020
Attended: Workshop on Bio-Mathematics (WoBM-2020)
- Department of Mathematics, IIT Patna (Virtual Mode)
- December 8-11, 2020
Attended: Workshop on Differential Equations and their Application
- Department of Mathematics, IIT Mandi (Virtual Mode)
- November 27-28, 2020
Organized: A Webinar on Learn LaTeX for Project Documentation
- Organized on my personal level for PG students of the Department of Mathematics, IIT Patna
- November 15-16, 2020
Presented: A research project entitled "Mathematical Epidemiology of Typhoid Fever" in the Two Week Faculty Development Programme on Bio-Mathematics
- Department of Mathematics, University of Delhi (Virtual Mode)
- October 15-28, 2020
Attended: Lecture Series on Mathematical Modeling in Biology
- Bangladesh Society for Mathematical Biology (Virtual Mode)
- September 18-19, 2020
Organized: One Week Online Workshop on Learn LaTeX for Research using Overleaf (LLRO-2020)
- Learn LaTeX Group with support from Overleaf & NIT Jamshedpur (Virtual Mode)
- Organized this national-level fundraiser event (1.4K+ Participants with 400 Exam Registrations)
- August 24-30, 2020
Attended: Workshop on Mathematical Tools for Boundary Value Problems and Applications
- Department of Mathematics, IIT Kharagpur
- March 09-13, 2020
Attended: Advanced Workshop on Partial Differential Equations and Applications (AWPDE-2017)
- Department of Mathematics, CUTN & IIST Trivandrum
- May 29 - June 11, 2017
Attended: Science Academies’ Refresher Course on Differential Equations and their Applications in Science & Engineering (DEASE-2016)
- Department of Mathematics, IIT (ISM) Dhanbad
- July 04-17, 2016
Presented: A research paper entitled "Mathematical Modelling and Control Theory Analysis of Artificial Satellite" at the 7th National Conference on Multidisciplinary Research in Science & Technology (NCMRSE-2016)
- Won the Best Paper Award for Oral Presentation Category
- Department of Applied Sciences, MIT AOE Pune
- June 03-04, 2016
Scientific Memberships
(Complimentary student and lifetime memberships)
Fellowship Agencies
(Current and past fellowships)
Research Profiles
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Research Services
(Reviewing/editing/mentorship/etc.)
Reviewer (by invitation) for:
Heliyon - Quantitative Biology
Heliyon - Mathematics
Heliyon - Global Health and Infectious Diseases
Computational and Mathematical Biophysics (CMB)
Reviewer (by invitation) for Qeios,
The Qeios is a free, open-access publishing platform with no editors making accept/reject decisions. In an effort to remove editorial bias, on Qeios, reviewers alone decide on the validity of the papers and publicly communicate with the authors with no intermediary.
Reviewer (volunteering discontinued) for:
MDPI Mathematics - Mathematical Biology
Volunteered as an Designer-cum-Editor for:
The Book of Abstracts & Event Booklet for the Research Scholar's Day (RSD-2022) organized by the Indian Institute of Technology Patna.
The Book of Abstracts for the National Conference on Differential Equations: Theory, Method, and Applications organized by the Department of Mathematics, Indian Institute of Technology Patna.
Partially mentored the following students:
Bithi Maikap (2024)
Sayan Acharya (2023)
Sajal Debnath (2022)
Kunzang Topgyal Bhutia (2021)