Published in International Journals:
- Chauhan, R. P., Singh, R., Kumar, A. and Thakur, N. K. (2024) Role of prey refuge and fear level in fractional prey–predator model with anti-predator. Journal of Computational Science, 81, 102385.
- Singh, R., Ojha, A., Thakur, N. K. and Upadhyay, R. K. (2024) Delay-induced nutrient recycling in plankton system:Application to Sundarban mangrove wetland. Nonlinear Analysis: Modelling and Control, 29 (3), 562-587.
- Singh, R., Ojha, A., and Thakur, N. K. (2024) Modeling the effect of interference and gestation delay in an interacting good biomass and bird population: An application to wetland ecosystem. Thalassas: An International Journal of Marine Sciences, 40, 539–556.
- Srivastava, S. C., Thakur, N. K., Singh, R. and Ojha, A. (2024) Impact of fear and switching on a delay-induced eco-epidemiological model with Beverton–Holt functional response. International Journal of Dynamics and Control, 12, 669-695.
- Thakur, N. K., Srivastava, S. C. and Ojha, A. (2023) A comprehensive study of spatial spread and multiple time delay in an eco-epidemiological model with infected prey. International Journal of Modeling, Simulation, and Scientific Computing (Accepted).
- Singh, R., Ojha, A., Tiwari, P. K., Thakur, N. K. and Kang, Y (2023) Impact of time delay in a plankton-fish system with nonlinear harvesting and external toxicity. International Journal of Biomathematics (Accepted).
- Kumar, S., Singh, R., Chauhan, R. P. and Thakur, N. K. (2023) Investigation of an interacting Fractional-Order predator–prey system in presence of fear and harvesting. Iranian Journal of Science, 47, 1739-1749.
- Ojha, A. and Thakur, N. K. (2023) Complex dynamics induced by multiple gestation delays in a Leslie–Gower-type system with competitive interference. Math Meth Appl Sci. (Accepted).
- Srivastava, S. C. and Thakur, N. K. (2023) Modeling the spread and control of vral infection in damaged aquatic system: Emergence of patterns. Iran J Sci Technol Trans Sci., 47, 467-487.
- Singh, R., Tiwari, S. K., Ojha, A. and Thakur, N. K. (2023) Dynamical study of nutrient-phytoplankton model with toxicity: Effect of diffusion and time delay. Math Meth Appl Sci., 46, 490-509.
- Thakur, N. K., Singh, R. and Ojha, A. (2022) Dynamical study of harmful algal bloom in Sundarban mangrove wetland with spatial interaction and competing effects. Modeling Earth Systems and Environment 8, 555-577.
- Ojha, A. and Thakur, N. K. (2021) Delay-induced Hopf and double Hopf-bifurcation in plankton system with dormancy of predators. Nonlinear Dynamics 105, 997-1018.
- Tiwari, S. K., Singh, R. and Thakur, N. K. (2021) Dynamical study of infochemical influences on tropic interaction of diffusive plankton system. SN Applied Sciences 3, 301.
- Thakur, N. K., Srivastava, S. C. and Ojha, A. (2021) Dynamical Study of an Eco-Epidemiological Delay Model for Plankton System with Toxicity. Iran J Sci Technol Trans Sci. 45, 283-304.
- Thakur, N. K., Ojha, A., Tiwari, P. K. and Upadhyay, R. K. (2021) An investigation of delay induced stability transition in nutrient-plankton systems. Chaos, Solitons and Fractals 142, 110474.
- 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.
- 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.
- Thakur, N. K. and Ojha, A. (2020) Complex Dynamics of Delay‑Induced Plankton-Fish Interaction Exhibiting Defense. SN Applied Sciences 2, 1114.
- Thakur, N. K. and Ojha, A. (2020) Complex plankton dynamics induced by adaptation and defense. Modeling Earth Systems and Environment 6, 907-916.
- Thakur, N. K. and Gupta, R. (2017) Analysis of complex wetland ecological system: Effect of harvesting. Computational Ecology and Software 7 (4), 140-152.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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:
- Srivastava, S.C. and Thakur, N.K. (2023). Dynamical Study of an Epidemiological Model with Harvesting and Infection in Prey Population. Frontiers in Industrial and Applied Mathematics. FIAM 2021. (Springer Proceedings in Mathematics & Statistics, vol 410. Springer, Singapore), 395-409.
- 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.
- 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.
- 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.