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.


Published in International Journals:

  1. Thakur, N. K., Srivastava, S. C. and Ojha, A. (2020) Dynamical Study of an Eco-Epidemiological Delay Model for Plankton System with Toxicity. Iran J Sci Technol Trans Sci.                 
  2. Thakur, N. K., Ojha, A., Tiwari, P. K. and Upadhyay, R. K. (2020) An investigation of delay induced stability transition in nutrient-plankton systems. Chaos, Solitons and Fractals
  3. Ojha, A. and Thakur, N. K. (2020) Exploring the complexity and chaotic behavior in plankton–fish system withmutual interference and time delay. BioSystems 198, 104283.
  4. Thakur, N. K., Ojha, A., Jana, D. and Upadhyay, R. K. (2020) Modeling the Plankton-Fish Dynamics with Top Predator Interference and Multiple Gestation Delays. Nonlinear Dynamics 100, 4003-4029. 
  5. Thakur, N. K. and Ojha, A. (2020) Complex Dynamics of Delay‑Induced Plankton-Fish Interaction Exhibiting Defense. SN Applied Sciences  2, 1114.
  6. Thakur, N. K. and Ojha, A. (2020) Complex plankton dynamics induced by adaptation and defense. Modeling Earth Systems and Environment 6, 907-916.
  7. Thakur, N. K. and Gupta, R. (2017) Analysis of complex wetland ecological system: Effect of harvesting. Computational Ecology and Software 7 (4), 140-152.
  8. 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.
  9. 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.
  10. 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.
  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. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.


Published in National and International Conferences:

  1. Thakur, N. K., Ojha, A. and Tiwari, S. K. (2020) The Role of Adaptation in Plankton System with Beddington-DeAngelis Type Functional Response. Mathematical Modelling and Scientific Computing with Applications (Springer Proceedings in Mathematics & Statistics), 21-33.
  2. 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.
  3. 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.
Other Info.


  • Invited talk in International Conference on Differential Equations and Control Problems: Modeling, Analysis and Computations, 17-19 June, 2019, IIT Mandi, Himachal Pradesh, India.
  • Presented a research paper in International Conference on Mathematical Modelling and Scientific Computing with Applications, 19-21 July, 2018, IIT Indore, Madhya Pradesh, India.
  • Presented a research paper in International Congress of Mathematician, 19-27 August, 2010, Hyderabad, India.
  • Attended a workshop on Advanced Numerical Techniques and Applications, June 29-July 11, 2009, Banaras Hindu University, Varanasi, Uttar Pradesh, India.
  • Participated in International conference on Mathematical Modelling and Computer Simulation, 2006, LNMIT, Jaipur, Rajasthan, India.


  1. Dynamical Study of Delay-Induced Stability and Chaos in Plankton Population, SERB, India, 2018-2021 (Ongoing).
  2. Modelling Pattern Formation in Spatial Aquatic Systems: Mathematical Models and Applications, Chhattisgarh Council of Science & Technology, Raipur, Chhattisgarh, India, 2015-2018 (Completed).

Ph. D. Students

  1. Rashi Gupta (Completed, 2018).
  2. Archana Ojha (Ongoing)
  3. Ravikant Singh (Ongoing)
  4. Smriti C. Srivastava (Ongoing)