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.
    

Conference/Seminar/Workshop   

• 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.

Project:

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)