Teaching
1. Differential Equations
2. Mathematical Ecology
3. Nonlinear Dynamics & Chaos
Designation: Professor (HAG)
Department: Mathematics & Computing
Email: ranjit[at]iitism[dot]ac[dot]in
Contact Number: 9431126485
Office Number: +91-326-223-5482
Personal Page: Under Construction
About Me: Dr. Ranjit Kumar Upadhyay is a Professor (HAG) in the Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, India. He is an acknowledged researcher and has contributed in various areas of Applied Mathematics, Mathematical modeling and Nonlinear Dynamics. His research areas are interdisciplinary in nature like dynamical systems theory; chaotic dynamics of real-world situations; population dynamics; spatial dynamics and pattern formations in biological populations, e-epidemic and neural models; and reaction-diffusion modeling. He has published 220 research papers in different International Journals of repute and a number of these publications are with international collaborators. He has supervised 15 students for their Ph.D. Currently, 6 students are working under his guidance for their Ph.D. degree. He has handled a number of sponsored R&D projects. He is the co-author of the text Book titled “Introduction to Mathematical Modeling and Chaotic Dynamics” & “Spatial dynamics and Pattern formations in biological populations” published by Taylor & Francis group (CRC Press, USA). He is an Editor-in Chief of the Journal of Innovation Science & Sustainable Technologies and subject editor of for National Academy Science Letters and on the Editorial Board for many reputed Journals. He is an Associate Editor of the Elsevier Journal “Food Webs” and Springer Journal “Advances in Difference Equations” and “Differential Equations and Dynamical Systems”. He is a Guest Editor of a Special Issue entitled “Nonlinear Models in Biosignaling, Biosensor and Neural Systems – Modeling, Simulations, and Applications” being brought out by the Springer Journals “Differential Equations and Dynamical Systems”. He was a visiting research fellow under the Indo-Hungarian Educational exchange program in Eötvös University, Budapest, Hungary. He was a visiting scientist and delivered invited lectures in many renowned institutions like University of Cambridge; University of Leicester, UK; University of Le Havre Normandie, France. He is a member of the International Society of Computational Ecology, Hong Kong.
Research Interest: Nonlinear Differential Equations (ODE, PDE, Delay, Cross-diffusive), Chaos Modeling, Mathematical Neuroscience, Nonlinear dynamics, Dynamical system Theory, Disease dynamics, Population dynamics, Reaction-Diffusion Modeling, Spatiotemporal pattern formations, Virus dynamics, Brain dynamics and Neural modeling.
1. Differential Equations
2. Mathematical Ecology
3. Nonlinear Dynamics & Chaos
|
Year |
Name of Award/Honors |
Name of Organization |
|
10.10.2023 |
Fellow of the National Academy of Sciences, Inda [FNASc] |
The National Academy of Sciences, Prayagraj, India |
|
27.03.2023 |
Fellow of Institute of Mathematics and its Applications [FIMA] [Membership Number P0045747] |
Institute of Mathematics and its Applications Essex SS1 1EF, UK |
|
|
Editor-in-Chief, Journal of Innovation Science & Sustainable Technologies |
|
|
2025 |
Subject Editor for National Academy Science Letters |
The National Academy of Sciences, India |
|
09.09.2022 |
Member of the expert committee for MATRICS on Mathematical Sciences [one Year] |
SERB, DST, Govt. of India |
|
July 2021 |
Co-opted member of Programme Advisory Committee on Mathematical Sciences [3 Yrs.] |
SERB, DST, Govt. of India |
|
May-June 2010 |
Visiting Research Fellow, Indo-Hungarian Educational exchange programme. |
Eötvös Lorand University, Budapest, Hungary |
|
October-December 2015 |
Visiting Fellow |
Isaac Newton Institute for Mathematical Sciences, Cambridge University |
|
June- July 2016 |
Visiting Scientist |
University of Le Havre Normandie, France |
|
December 2018 |
Visiting Scientist |
University of Le Havre Normandie, France |
|
19-27 August 2010 |
Invited talk in International Congress of Mathematician |
University of Hyderabad |
|
18-23 June 2012 |
Invited talk in Computability in Europe 2012 |
Cambridge University |
|
3-7 February 2014 |
Invited talk in 101st Indian Science Congress |
Jammu University |
|
2015-Cont. |
Associate Editor, Food Webs |
Elsevier, USA |
|
2022-Cont. |
Associate Editor, Frontiers in Computational Neuroscience |
Switzerland |
|
2017-Cont. |
Associate Editor, Advances in Difference Equations |
Springer, USA |
|
2014-Cont. |
Nominated as member of Board Commission for International Society of computational Ecology |
IAEES, Hong Kong |
|
2017-Cont. 2014-Cont. 2015-Cont. 2017-Cont. 2020-Cont. 2015-Cont. 2015- Cont.
2025- |
Editorial Board member of
Food Webs Differential Equations and Dynamical System Journal of Nonlinear Systems and Applications Computational Ecology and Software Iraqi Journal of Science Invertis Journal of Science & Technology International Journal of Biomathematics and Systems Biology Babylonian Journal of Mathematics |
Elsevier, USA Springer, USA Watam.org, France IAEES, Hong Kong University of Baghdad Invertis University Bio-mathematical Society of India Mesopotamian Academy Press |
1. INTRODUCTION TO MATHEMATICAL MODELING AND CHAOTIC DYNAMICS
Authors: R. K. Upadhyay & S. R. K. Iyengar
Publisher: CRC Press Taylor & Francis Group
(Published: July 23, 2013 by Chapman and Hall/CRC press)
2. SPATIAL DYNAMICS & PATTERN FORMATION IN BIOLOGICAL POPULATIONS
Authors: R. K. Upadhyay & S. R. K. Iyengar
Publisher: CRC Press Taylor & Francis Group
(Published: February 15, 2021 by Chapman and Hall/CRC press)
see the Publication List.
|
Sl. No. |
Project Title |
Amount in ₹ (Lakh) |
Role (PI/ Co-PI) |
No. of Co-PIs |
Funding Agency |
Duration |
Status (Completed/ Ongoing) |
|
1. |
Design and Assessment of Complex Network Models and their Applications to halt Brain Disorders. [CRG/2023/000583] |
35.98 |
PI |
01 |
SERB, DST New Delhi |
3 Yrs. [2024-2027] |
Awarded/Ongoing |
|
2. |
High Performance Cluster Supercomputing [SR/FST/MS II/2023/142] |
223.00 |
Head |
01 |
FIST Program-2023 [TPN-90498] |
5 Yrs. |
Awarded/Ongoing |
|
3. |
Dynamic Modeling of Spatial Epidemic and Eco-Epidemiological Systems-a New Healthcare Initiative |
6.60 |
PI |
NIL |
SERB, DST New Delhi |
3 Yrs. [2018-2021] |
Completed |
|
4. |
Mathematical Modeling of Dynamical Diseases in the Human Brain |
18.20 |
PI |
NIL |
CSIR, New Delhi |
3 Yrs. [2017-2020] |
Completed
|
|
5. |
Modeling the Spatiotemporal Complexity of Eco-Epidemiological System: A Dynamical System Approach [UGC (89)/2013-2014/337/AM] |
3.5 |
PI |
NIL |
UGC, New Delhi |
3 Yrs. [2013-2016] |
Completed |
|
6. |
Modeling the Dynamic Nature of Ecological Complexity: A Mathematical and Stochastic Approach [UGC (32)/2008-09/220/AM] |
7.26 |
PI |
NIL |
UGC, New Delhi |
3 Yrs. [2008-2011] |
Completed |
|
7. |
Search of Good Rotation Pattern- To Address the Estimation and Forecasting Problems. [UGC (19) 2007-08/193/AM] |
5.5 |
Co-PI |
one |
UGC, New Delhi |
3 Yrs. [2007-2010] |
Completed |
|
8. |
Ultra High-Resolution Retinal Imaging of Living Eye through Adaptive Optics |
41.47 |
Co-PI |
Two |
DST, New Delhi |
3 Yrs. 2007-2010] |
Completed |
|
1. |
Preparation of Regional Environmental Management plan for Angul-Talcher Meramundali Area of Orissa Consultancy Project [No. 0267] http://ismenvis.nic.in/Content/FINANCIALYEAR2010-11_3966.aspx |
52.24 |
Co-PI |
8 |
State Pollution Control Board, Orissa |
One Yr. [2010-2011] |
Completed
|
MEMBERSHIP OF PROFESSIONAL BODIES:
|
S. No. |
Name of the Body |
Status of Membership: Life / Annual |
|
1. |
Association Computability in Europe |
Life Member |
|
2. |
International Society of Difference Equations |
Life Member |
|
2. |
Indian Mathematical Society |
Life Member |
|
3. |
International Academy of Physical Sciences |
Life Member |
|
4. |
Bio-mathematical Society of India |
Life Member |
|
5. |
International Society of computational Ecology, Hong King. |
Life Member |
|
6. |
American Mathematical Society |
Annual Member |
DISSERTATIONS/THESIS SUPERVISED:
Ph. D Guided/Supervising
* Guided: Fifteen
|
S.N. |
Name |
Present Association |
Topic |
Year |
|
1. |
Dr. Nitu Kumari
|
Associate Prof. in IIT Mandi |
Modelling the dynamical complexity in diffusion driven ecological systems. |
2009 |
|
2. |
Dr. Nilesh Kumar Thakur |
Associate Prof. in NIT Raipur |
Modeling the dynamic nature of Ecological complexity in spatial aquatic systems. |
2012 |
|
3. |
Dr. S.N. Raw |
Associate Prof. in NIT Raipur |
Complex dynamics of Ecological systems: Models and Methods |
2012 |
|
4. |
Dr. Parimita Roy |
Associate Prof in TIET, Patiala. |
Modeling the spatiotemporal complexity of Eco-epidemiological systems. |
2016 |
|
5. |
Dr. Rashmi Agrawal
|
Assistant Prof in Shivaji College, University of Delhi |
Modeling ecological systems with mutual interference and time delay. |
2017 |
|
6. |
Dr. Satish Kumar Tiwari |
Assistant Prof. in RGIPT, Sivasagar, Assam. |
Modeling the spatiotemporal complexity of Wetland systems. |
2017 |
|
7. |
Dr. Argha Mondal
|
Assistant Prof. in SKB University, Purulia, WB. |
Dynamical studies of voltage-gated Neuron models under realistic situations: Nonlinear responses and Synchronization. |
2018 |
|
8. |
Dr. Renu (Guide )Prof. S.P. Tiwari) |
Assistant Prof. BN Mandal University Madhepura, Bihar |
Fuzzy Dynamical Systems: Models & Methods |
2019 |
|
9. |
Dr. Jyotiska Datta
|
Assistant Professor & Head, CU Orissa |
Eco-Epidemiological systems with delay and Diffusion: A Modeling study |
2020 |
|
12. |
Dr. Sarita Kumari |
Assistant Prof in VIT Chennai Campus, Tamil Nadu |
Modeling Ecological complexity of aquatic and Marine systems. |
2022 |
|
13. |
Dr. Sanjeev Kumar Sharma |
Assistant Prof in Govt. Engg. College Banka, Bihar |
Spiking and bursting phenomena in Neural models and Networks. |
2022 |
|
14. |
Dr. Arnab Mondal |
|
Diffusion driven spatial patterns and Travelling waves in Neuron models |
2022 |
|
15. |
Dr. Sattwika Acharya |
|
Modeling the epidemic dynamics with delay and diffusion. |
2023 |
Supervising: Six
|
S.N. |
Regn. No.
|
Name |
Topic |
|
1. |
21DR0044 |
Mr. D. Pradhan |
Neuronal modeling and Brain dynamics |
|
2. |
22DR0145 |
Miss Namrata Mani Tripathi, PMRF |
Modeling Epidemic Systems: Stability and Bifurcation Analysis |
|
3. |
22DR0044 |
Mr. Amit Kumar Barman |
Mathematical Modeling in Cancer Research using High-throughput Data |
|
4. |
22DR0044 |
Miss Prasad Anjali Ramashankar Chandadevi, PMRF (Guide, Prof. S.P. Tiwari) |
Spatiotemporal disease dynamics: Fuzzy modeling approach |
|
5. |
23DR0047 |
Mr. Debadri Bera |
Mathematical Modeling in Alzheimer disease: Data driven Dynamics and simulation |
|
6. |
23DR0242 |
Mr. Dhiraj Kumar Srivastava |
Modeling the infectious disease and health economics through the lens of human behavior. |
Postdoc Fellow
|
1. |
Dr. Rachana Bhatia |
|
NBHM Post-Doctoral Fellow (Left) |
Ph.D. from IIT Roorkee |
With Prof. R.C. Mittal |
|
2. |
Dr. Ashok Kumar Pal |
CSIR Project No. 25(0277)/17/EMR-II |
CSIR RA |
Ph.D. from IIT(ISM) Dhanbad |
Dr. B.S. Kuswah |
|
3. |
Dr. Bichitra Kumar Lenka |
DR/IPDF/M&C/30/2023 Joined 03.07.2023 |
Institute Post-Doctoral Fellow |
Ph.D. from IISER, Kolkata |
Prof. Soumitro Banerjee |
|
4. |
Dr. Dipesh Barman |
DR/IPDF/M&C/37/2023 Joined 11.10.2023 |
Institute Post-Doctoral Fellow |
Ph.D. from IIEST, Shibpur |
Prof. S. Alam |
|
5. |
Dr. Sevak Ram Sahu |
SERB(CRG)/2024-2025/ 1112/MnC |
Research-Associate I |
Ph.D. from NIT, Raipur |
Dr. S.N. Raw |