Department Department of Mathematics
Designation Assistant Professor
Educational Qualification M. Phil., Ph. D. IIT (ISM) Dhanbad
Contact Number 7772078448
Areas of Interest

Mathematical Ecology, Mathematical Modelling, Nonlinear Dynamics.

  1. Upadhyay, R. K., Thakur, N. K. and Dubey, B. (2010) Nonlinear non-equilibrium pattern formation in a spatial aquatic system. Journal of Biological Systems 18 (1), 129-159.
  2. Upadhyay, R. K., Wang, W. and Thakur, N. K. (2010) Spatiotemporal Dynamics in a Spatial Plankton System. Mathematical Modelling of Natural Phenomena 5 (5), 101-121.
  3. Upadhyay, R. K., Thakur, N. K. and Rai, V. (2011) Diffusion-driven instabilities and spatio-temporal patterns in an aquatic predator-prey system with Beddington-DeAngelis type functional response. International Journal of Bifurcation and Chaos 21 (3), 663-684.
  4. Upadhyay, R. K., Thakur, N. K. (2012) Spatiotemporal pattern induced by self and cross-diffusion in a spatial Holling-Tanner model. Computational Ecology and Software 2 (1), 1-25.
  5. Upadhyay, R. K., Volpert, V. and Thakur, N. K. (2012) Propagation of Turing patterns in a plankton model. Journal of Biological Dynamics 6 (2), 524-538.
  6. Rai, V., Upadhyay, R. K. and Thakur, N. K. (2012) Complex Population Dynamics in Heterogeneous Environments: Effects of Random and Directed Animal Movements. International Journal of Nonlinear Sciences and Numerical Simulation, 13, 299-309.
  7. Parshad, R. D., Upadhyay, R. K. and Thakur, N. K. (2012) On the Well Posedness and Further Regularity of a Diffusive Three Species Aquatic Model. Applied Mathematical Sciences 6 (3), 597-619.
  8. Thakur, N. K., Upadhyay, R. K. and Raw, S. N. (2012) Instabilities and Patterns in Zooplankton-Phytoplankton Dynamics: Effect of Spatial Heterogeneity. Communications in Computer and Information science (Springer-Verlag Berlin Heidelberg), 229-236.
  9. Raw, S. N., Upadhyay, R. K. and Thakur, N. K. (2012) Crisis-Limited Chaotic Dynamics in an Eco-epidemiological System of the Salton Sea. Communications in Computer and Information science (Springer-Verlag Berlin Heidelberg), 201-209.
  10. Upadhyay, R. K., Patra, A., Dubey, B. and Thakur, N. K. (2014) A Predator-Prey Interaction Model with Self and Cross Diffusion in Aquatic Systems. Journal of Biological Systems 22 (4), 1-22.
  11. Thakur, N. K., Gupta, R. and Upadhyay, R. K. (2015) Turing and Non-Turing patterns in diffusive plankton model. Computational Ecology and Software 5 (1), 16-27.
  12. Thakur, N. K., Tiwari, S. K. and Upadhyay, R. K. (2016) Harmful algal blooms in fresh and marine water systems: The role of toxin producing phytoplankton. International Journal of Biomathematics 9 (3), 1650043.
  13. Thakur, N. K., Gupta, R. and Upadhyay, R. K. (2017) Complex Dynamics of Diffusive Predator-Prey System with Beddington-DeAngelis functional response: The role of Prey-Taxis. Asian-European Journal of Mathematics 10 (1), 1750047, 1-15.
  14. Thakur, N. K., Tiwari, S. K., Dubey, B and Upadhyay, R. K. (2017) Diffusive Three Species Plankton Model in the Presence of Toxic Prey: Application to Sundarban Mangrove Wetland. Journal of Biological Systems 25 (2), 1-22.
  15. Thakur, N. K., Gupta, R. (2017) Analysis of complex wetland ecological system: Effect of harvesting. Computational Ecology and Software 7 (4), 140-152.
Other Info.


  • Participated in International conference on “Mathematical Modelling and Computer Simulation”, organized by LNMIT, Jaipur, 2006.
  • Workshop attended on “Advanced Numerical Techniques and Applications”, organized by Banaras Hindu University, Varanasi, during June 29 – July 11, 2009.
  • Presented a research paper in International Congress of Mathematician, Hyderabad, INDIA, during August 19 – 27, 2010.


  1. Modelling Pattern Formation in Spatial Aquatic Systems: Mathematical Models and Applications, Chhattisgarh Council of Science & Technology, 2015 (Ongoing)

Ph. D. Students

  1. Rashi Gupta (Completed, 2018).
  2. Archana Ojha (Ongong)