Dr. Nitu Kumari

Dr. N. Kumari
Phone : 01905-267109
EMail : nitu[at]iitmandi[dot]ac[dot]in
nituism27[at]gmail[dot]com
Address : A1 Building, Top Floor
School of Basic Sciences
IIT Mandi, PWD Rest House 2nd floor,
near Bus Stand, Mandi - 175001
India

Research interests

  • Nonlinear dynamics and Chaos
  • Mathematical modeling
  • Patterns and waves in ecology
  • Epidemiology
  • Mathematical biology
  • Differential equations

Education

  • PhD in Applied Mathematics from Indian School of Mines 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

  • Visiting Senior Scientist, Department of Mathematics, Clarkson University New York, USA (2013 - 2014)
  • Assistant Professor, School of Basic 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.

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), granted only to 50 PhD students every year in India selected on the basis of their research aptitude.
  • 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.

Selected Publications

  • R. D. Parshad, S. Kouachi, Nitu Kumari, and H. A. Abderrahmane (2016) Global Existence and Long Time Dynamics of a Four Compartment Brusselator Type System, Accepted, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
  • 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.], Accepted, Modeling Earth Systems and Environment (Springer)
  • 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

  • Vikas Kumar, PhD student, (2016- )
  • Nishith Mohan, PhD student, (2016- )
  • Sandeep Sharma, PhD student, (2012- )
  • 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

    Active

  • 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), webpage: http://www.iu-atc.com/
  • Completed

  • 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)

Institute Services

  • 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
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