Dr. Nitu Kumari
| Phone : | 01905-267857 |
|---|---|
| EMail : | nitu[at]iitmandi[dot]ac[dot]in |
| nituism27[at]gmail[dot]com | |
| Address : | A3-101, A3 Building |
| School of Mathematical and Statistical Sciences | |
| Kamand, IIT Mandi, 175005, | |
| India | Webpage : | Dynamical System Lab |
| My Channel : | Nitu Kumari IIT Mandi |
Research interests
- Mathematical Modelling
- Dynamical Systems
- Machine Learning based Modelling
- Nonlinear Dynamics and Chaos Theory
- Differential Equations (ODE and PDE)
Education
- PhD in Applied Mathematics from Indian Institute of Technology(ISM) Dhanbad, 2009, Thesis title: Modelling the dynamical complexities in diffusion driven ecological systems
- MPhil in Applied Mathematics from Indian School of Mines Dhanbad, 2006, Thesis title: Exploring the dynamic nature of ecological complexity: a dynamical system approach
- MSc in Mathematics & Computing from Indian School of Mines Dhanbad, 2005
- BSc in Mathematics (Honours) from Vinoba Bhave University, Hazaribag, 2002
Experience
- Associate Professor , School of Mathematical and Statistical Sciences, Indian Institute of Technology Mandi, India (since October 2019)
- Visiting Senior Scientist, Department of Mathematics, Clarkson University New York, USA (2013 - 2014)
- Assistant Professor, School of Mathematical and Statistical Sciences, Indian Institute of Technology Mandi, India (since July 2010)
- Lecturer of Mathematics in Vinoba Bhave University, Hazaribag (2008-2010)
- National Doctoral Fellow of All India Council for Technical Education (AICTE), Govt. of India (2007-2008)
Teaching
Courses taught at IIT Mandi
- IC 110 Engineering Mathematics (BTech Core), August-December, 2010.
- IC 111 Linear Algebra (BTech Core), Feb-June, 2011.
- IC 101 Design Practicum (B Tech, Core), Feb-June, 2011.
- IC 110 Engineering Mathematics (B Tech, Core), August-December, 2011.
- MA 704 Dynamical Systems (MS/PhD, Elective), August-December, 2011.
- MA 460 Nonlinear Dynamics and Chaos (B Tech, Elective), Feb-June, 2012.
- IC 101 Design Practicum (B Tech, Core) Feb-June, 2012.
- MA 705 Modeling Population Dynamics (PhD, Elective), August-December, 2012.
- IC 150P Computation for Engineers Lab (B Tech, Core), Feb-June, 2013.
- IC 111 Linear Algebra (B Tech, Core), Feb-June, 2015.
- IC 150 Computation for Engineers, (B Tech, Core), August-December 2015 (with Prof. T. A. Gonsalves)
- IC 150P Computation for Engineers Lab, (B Tech, Core), August-December 2015.
- MA 704 Dynamical Systems (MS/PhD, Elective), Feb-June, 2016.
- MA 512 Linear Algebra (M.Sc Core & MS/PhD, Elective), August-December, 2016.
- IC 150 Computation for Engineers, (B Tech, Core), August-December 2016 (with Prof. T. A. Gonsalves)
- IC 210 Probability Statistics and Random Processes (BTech Core), February-June, 2017.
- IC 150P Computation for Engineers Lab (BTech Core), August-December 2017.
- MA 512 Linear Algebra (M.Sc Core & MS/PhD, Elective), August-December, 2017.
- MA 704 Dynamical Systems (M.Sc Elective & MS/PhD, Elective), February-June, 2018.
- MA 513 Ordinary Differential Equations (M.Sc Core & MS/PhD, Elective), August-December, 2018.
Honours and Distinctions
- Awarded Raman Fellowship by UGC, 2013-2014
- Qualified Jharkhand Public Service Commission (JPSC) Exam, 2007 with a merit position first in Jharkhand state.
- National Doctoral Fellowship awarded by the All India Council for Technical Education (AICTE), Govt. of India (2007 - 2008).
- Junior Research Fellowship awarded by Indian School of Mines Dhanbad on the basis of an all India examination (2006 -2007).
- Graduate Aptitude Test in Engineering (GATE - 2006) with percentile score 91 and All India Rank - 213.
Research Publications
- Nitu Kumari and Sandeep Sharma (2018) Modeling the dynamics of infectious disease under the influence of environmental pollution, International Journal of Applied and Computational Mathematics (Springer), Accepted
- Sandeep Sharma and Nitu Kumari (2018) Possibility and causes of backward bifurcation in a cholera model, Book chapter in Applications of Fluid Dynamics , Springer, pp. 673-682
- Sandeep Sharma and Nitu Kumari (2017) Backward Bifurcation in a Cholera Model: A case study of outbreak in Zimbabwe and Haiti, International Journal of Bifurcation and Chaos (World Scientific), Vol 27 (11), pp. 1750170 (20 pages).
- Sandeep Sharma and Nitu Kumari (2017) Why to consider environmental pollution in cholera modelling?, Mathematical Methods in Applied Sciences (Wiley), Vol 40 (18), pp. 6348-6370.
- R. D. Parshad, S. Kouachi, Nitu Kumari, and H. A. Abderrahmane (2017) Global Existence and Long Time Dynamics of a Four Compartment Brusselator Type System Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, Vol. 24, pp. 79-120.
- R. D. Parshad, S. Kouachi, and Nitu Kumari (2016) A Comment on "Mathematical study of a Leslie-Gower type tritrophic population model in a polluted environment" [Modeling Earth Systems and Environment 2 (2016) 1-11.], Modeling Earth Systems and Environment (Springer) Vol. 2, pp. 93.
- Nitu Kumari and Sandeep Sharma (2016) Does water disinfectant play a supportive role in the spread of infectious disease? A mathematical study, Natural Resource Modeling (Wiley), Vol. 29(2), pp. 259-288.
- R.D. Parshad, K. Black, E. Quansah, R.K. Upadhyay, S.K. Tiwari and Nitu Kumari (2016) Long time dynamics of a three-species food chain model with Allee effect in the top predator, Computers and Mathematics with Applications (Elsevier), Vol. 71, pp. 503-528.
- ** R. D. Parshad, S. Bhowmick, V. Chand, Nitu Kumari and N. Sinha (2016) What is India Speaking? Exploring the “Hinglish” Invasion, Physica A (Elsevier), Vol. 449, pp. 375-389.
[** Associated Media on this paper- a. 2016 Interviewed for “Mat Socho you know all about Hinglish” G.S. Mudur. The Telegraph, New Delhi, January 17 “The Telegraph”
- b. 2016 Hinglish threatens to corrupt Hindi in North, New Delhi, January 19 Free Press Journal
- c. 2014 Hinglish – A New competitor in India’s language race. June 25 Technology Org ]
- R. D. Parshad, Nitu Kumari, Said Kouachi (2015) A remark on “Study of a Leslie Gower type tritrophic population model [Chaos Solitons and Fractals 14 (2002) 1275-1293]”, Chaos Solitons & Fractals (Elsevier), Vol. 71, pp. 22-28.
- R. D. Parshad, Nitu Kumari, A. Kasimov and H. A. Abderrahmane (2014) Turing patterns and long time behavior in a three species food chain model, Mathematical Biosciences (Elsevier), Vol. 254, pp. 83-102.
- Nitu Kumari (2013) “Pattern Formation in Spatially Extended Tritrophic Food Chain Model Systems: Generalist versus Specialist top predator”, ISRN Biomathematics, Article id 198185.
- R. D. Parshad, H. A. Abderrahmane, R. K. Upadhyay, and Nitu Kumari(2013) “Finite time blow up in a realistic food chain model”, ISRN Biomathematics, Article id 424062
- V. Rai, R.K. Upadhyay, S. N. Raw and Nitu Kumari (2011) “Some aspects of animal behavior and community dynamics”, Computational Ecology and Software, Vol. 1, No.3, pp. 153-182.
- R.K. Upadhyay, Nitu Kumari and Vikas Rai (2010) “Modeling spatiotemporal dynamics of vole populations in Europe and America”, Mathematical Biosciences (Elsevier), Vol. 223, pp. 47-57.
- B. Dubey, Nitu Kumari and R. K. Upadhyay (2009) Spatiotemporal pattern formation in a diffusive predator-prey system: An analytical approach, Journal of Applied Mathematics and Computing (Springer-Verlag), Vol. 31, pp. 413-432.
- R. K. Upadhyay, Nitu Kumari and Vikas Rai (2009) Wave of chaos in a diffusive system: Generating realistic patterns of patchiness in plankton fish dynamics, Chaos Solitons and Fractals (Elsevier), Vol. 40, No. 1, pp. 262-276.
- R. K. Upadhyay, Nitu Kumari and Vikas Rai (2009) Exploring dynamical complexity in diffusion driven predator-prey systems: effect of toxin producing phytoplankton and spatial heterogeneities, Chaos Solitons and Fractals (Elsevier), Vol. 42, pp. 584-594.
- R. K. Upadhyay, Nitu Kumari and Vikas Rai (2009) “Wave phenomena and edge of chaos in a predator-prey system under Allee effect”, Differential Equations and Dynamical Systems (Springer-Verlag), Vol. 13, No. 3, pp. 301-317.
- * R. K. Upadhyay, Nitu Kumari and V. S. H. Rao (2008) Modelling the spread of Bird Flu and predicting outbreak diversity, Nonlinear Analysis: Real World Applications (Elsevier), Vol. 9, pp. 1638-1648.[ *This article was at Number 1 position in Science Direct Top 25 Hottest Articles in April-June 2008. ]
- R. K. Upadhyay, Nitu Kumari and Vikas Rai (2008) Wave of chaos and pattern formation in a spatial predator-prey system with Holling type IV functional response, Mathematical Modelling in Natural Phenomena, Vol. 3, No. 4, pp. 71-95.
- R. K. Upadhyay, R. K. Naji and Nitu Kumari (2007) Dynamical complexity in some ecological models: effect of toxin production by phytoplankton, Nonlinear Analysis: Modelling and Control, Vol. 12, No. 1, pp. 1-16.
Research Guided
- Sumit Kumar, PhD student, (2019-2024 )
- Shubhangi Dwivedi, PhD student, (2018-2022 )
- Vikas Kumar, PhD student, (2016-2021 )
- Nishith Mohan, PhD student, (2016-2021 )
- Sandeep Sharma, PhD student, Thesis Title: Modeling the Dynamics of Waterborne Diseases under the influence of Environmental Pollution. (2012-2017)
- Madhuresh Mishra, Senior Research Fellow (2013-2014)
Invited Conference Presentations
- Modeling long time behavior and pattern formation in host-parasitoid-hyperparasitoid system Workshop on “Differential Equations with Applications in Engineering, July 1-8, 2016, IIT Mandi, HP, India (2016).
- Modeling Pattern Formation in Ecology, Workshop on “Dynamical Systems: Theory and its Applications", June 25-30, 2016, ISM Dhanbad, Jharkhand, India (2016).
- Modeling language dynamics in India: A New Twist, Workshop on “Dynamical Systems, Statistics, Networking and Control", April 30, 2016, IIT Mandi, HP, India (2016).
- Nitu Kumari (2015) Turing Pattern Formation in a Host-Parasitoid-Hyper Parasitoid System, SIAM Conference on Analysis of Partial Differential Equations (PD15), December 7-10, 2015, Scottsdale, Arizona, USA.
- Turing Pattern Formation in a Host-Parasitoid-Hyper Parasitoid System, SIAM Conference on Analysis of Partial Differential Equations (PD15), December 7-10, 2015, Scottsdale, Arizona, USA,(2015)
- Wave of chaos and pattern formation in spatially extended three species model systems, SIAM Annual Meeting (AN13), July 8-12, 2013, San Diego, California, USA, (2013).
- Spatiotemporal Dynamics in Three species Model systems with Self Diffusion, Presented in SIAM conference on Nonlinear Waves and Coherent structures, 13-16 June, University of Washington, Seattle, USA, (2012)
- Pattern Formation in Diffusive Predator-Prey Model Systems and its Mechanism, paper presented in National Seminar on Recent Advances in Theoretical and Applied Seismology, 27-28 March, ISM, Dhanbad, (2009) .
- Patterns and Waves in Spatial Predator-Prey System with Holling type Functional Response, paper presented in National Seminar on Recent Advances in Theoretical and Applied Seismology, 21-22 March, ISM, Dhanbad, (2007) .
- Exploring spatiotemporal chaos in aquatic ecological system, paper presented in National Seminar on Recent Advances in Theoretical and Applied Seismology, 20-21 March, ISM, Dhanbad, (2006).
- A class of chain type ratio estimators with two auxiliary variables under two phase sampling scheme, SAP Seminar on Recent Advances in Theoretical and Applied Seismology, 3-4 March, ISM, Dhanbad,(2005)
Professional Activities
- Reviewer of Ecological Modelling, Applied Mathematics Letters, Applied Mathematics and Computation, Nonlinear Dynamics, International Journal of Bifurcation and Chaos, Mathematical Biosciences, Springerplus.
- Member of Society for Industrial and Applied Mathematics
- Lifetime member of the Indian Mathematical Society
Research Grants
- 2018 – 2021 SERB, India (INR 22Lakhs) Project Title: Study of Vector-borne disesaes under the influence of environmental pollution. (As Principal Investigator),
- 2012 – 2015 EPSRC, UK and DST, India (INR 16 lakh) Project Title: India UK- Advanced Technology Centre (IU-ATC) Phase II of Excellence in Next Generation Networks, Systems and Services. (As Co-Investigator),
- 2013 – 2014 UGC (USD $ 37,200) Project Title: Exploring Spatiotemporal Pattern Formation and Chaos in Multi-Species Diffusion Driven Ecological systems (As Principal Investigator)
- 2011 - 2014 IIT Mandi (INR 5 lakh) Project Title: Modelling the Spread and Control of epidemics with Reaction- Diffusion Systems (As Principal Investigator)
- 2007 - 2009 AICTE, Govt. of India (INR 5.67 lakh) Project Title: Study of Dynamical Complexities in Model Ecosystems (As Principal Investigator)
Active
Completed
Institute Services
- Coordinator, M.Sc. Applied Mathematics, October, 2017-
- Member, Advisory Board (Health Services), March, 2017-
- Member, Office Automation System (OAS) Steering Committee, March, 2017-
- Member, House Allotment Committee, March, 2017-
- Chair, Daycare Committee, Kamand campus, April, 2016-
- Chair, CCM for 3rd and 4th year CSE courses, April, 2016-
- Member, Review committee for consultant to IIT Mandi campus school, April, 2016
- Member, Construction Coordination Committee, July, 2011-June, 2013
- Warden, Renuka Hostel, August, 2010-June, 2013
- Member, Anti-ragging Committee, August, 2012-June, 2013
- Member, Course Curriculum Committee, July, 2011-December, 2012
- Member, Student Welfare Committee, November, 2010-December, 2012
- Co ordinator, Trekking and Hiking Club, January, 2011 – July, 2012