Dr. N. Kumari

Dr. N. Kumari
Phone : 01905-237926
EMail : nitu[at]iitmandi[dot]ac[dot]in
nituism27[at]gmail[dot]com
Address : 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

Professional Experience

  • 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

  • Fall 2010: MA101 Mathematics I
  • Spring 2011: MA201 Linear Algebra
  • Fall 2011: MA101: Mathematics I
                     MA704: Dynamical Systems (Graduate Course)
  • Spring 2012: MA460 Nonlinear Dynamics and Chaos

Awards

  • 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.

Research Publications

  • Some aspects of animal behavior and community dynamics, Computational Ecology and Software,Vol. 1, No.3, pp. 153-182, 2011. (with V. Rai, R. K. Upadhyay, S. N. Raw)
  • Modeling spatiotemporal dynamics of vole populations in Europe and America, Mathematical Biosciences (Elsevier), Vol. 223, pp. 47-57, 2010. (with R.K. Upadhyay & V. Rai)
  • 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, 2009. (with R.K. Upadhyay & V.Rai)
  • 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, 2009. (with R.K. Upadhyay & V.Rai)
  • 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, 2009. (with R.K. Upadhyay & V.Rai)
  • 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, 2009. (with B.Dubey & R.K. Upadhyay)
  • 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, 2008. (with R.K. Upadhyay & V.Rai)
  • Modelling the spread of Bird Flu and predicting outbreak diversity, Nonlinear Analysis: Real World Applications (Elsevier), Vol. 9, pp. 1638-1648, 2008. (with R.K. Upadhyay & V.S.H. Rao) [This research paper was at number 1 position in Science Direct Top 25 Hottest Articles in April-June 2008]
  • Dynamical complexity in some ecological models: effect of toxin production by phytoplankton, Nonlinear Analysis: Modelling and Control, Vol. 12, No. 1, pp. 1-16, 2007. (with R.K. Upadhyay & R.K.Naji)

Professional Activities

  • Reviewer of Ecological Modelling (Elsevier Science)
  • Member of Society for Industrial and Applied Mathematics
  • Lifetime member of the Indian Mathematical Society
.