Academic Information
Ph.D, CU, 2018
Research Areas
Research Interests
My research explores how complex patterns and instabilities emerge in nonlinear systems related to ecology, biology, and physics. I work mainly with reaction–diffusion models to study predator–prey, host–parasitoid, and eco-epidemic interactions, examining the roles of diffusion, cross-diffusion, inertia, harvesting, fear, and additional food. Using ODE- and PDE-based approaches, I investigate the formation of spatial patterns, waves, and chaotic behavior. My interests also extend to turbulence, plasma dynamics, signal analysis, and applied mathematical modeling.
Courses Taught
Positions Held
Publications
Sahoo, Kalyanashis; Koley, Jayita; Ghorai, Santu; Poria, Swarup. Differential impacts of grazing on vegetation patterning in drylands: A comparative study. Chaos: An Interdisciplinary Journal of Nonlinear Science, 35(11), 2025. AIP Publishing.
Shaw, S., Chakraborty, B., Maji, S., Ghorai, S. (2025). Mathematical modeling and diffusion-driven induced pattern formation in a prey–predator system. Recent Advancements in Computational Intelligence and Design Engineering, 504–509. CRC Press.
Adak, A., Ghorai, S. (2025). Dissipative solitons in magnetized pair-ion plasmas. Recent Advancements in Computational Intelligence and Design Engineering, 451–459. CRC Press.
Mondal, A., Ghorai, S., Mondal, U. (2025). Star formation in presence of magnetic field: Exploring a 2D dynamical system perspective. Recent Advancements in Computational Intelligence and Design Engineering, 460–466. CRC Press.
Akhtar, S., Saikh, A., Gazi, N. H., Ghorai, S. (2025). Dynamics of an eco-epidemic model considering nonhereditary disease in the prey population. Recent Advancements in Computational Intelligence and Design Engineering, 490–503. CRC Press.
Biswas, A., Mondal, S., Ghorai, S., et al. (2025). An ideal technique for solving linear and nonlinear Goursat problems. Recent Advancements in Computational Intelligence and Design Engineering, 515–520. CRC Press.
Chakraborty, P., Ghorai, S., Poria, S. (2025). Analyzing EEG signals using multifractal analysis: Distinguishing alpha and theta rhythms. Recent Advancements in Computational Intelligence and Design Engineering, 483–489. CRC Press.
Pal, D., Ghorai, S., Kesh, D., Mukherjee, D. (2024). Hopf bifurcation and pattern formation in a diffusive two-prey one-predator system with fear in preys and help. Applied Mathematics and Computation, 481, 128927.
Bhunia, B., Kar, T. K., Ghorai, S. (2024). Spatiotemporal flow-induced instability of predator–prey model with Crowley–Martin functional response and prey harvesting. Chaos, 34(8).
Ghorai, S., Shaw, S., Mondal, S., Maji, S. (2024). The emergence of periodic and chaotic patterns in a simple predator–prey system in presence of self-diffusion. Advances in Computational Solutions, 77.
Bhattacharya, S., Ghorai, S., Bairagi, N. (2024). Dynamic patterns in herding predator–prey system: Analyzing the impact of inertial delays and harvesting. Chaos, 34(12). 12.
Chakraborty, A., Duari, N. K., Chakrabarti, T., Mondal, S., Ghorai, S. (2024). Retailer’s inventory decisions for deteriorating items with exchange scheme under advertisement effects. Advances in Computational Solutions,
Chakraborty, A., Duari, N. K., Chakrabarti, T., Mondal, S., Ghorai, S. (2024). Impact of carbon emission on EPQ model in the context of rhino bricks production. Advances in Computational Solutions, 13.
Marick, S., Ghorai, S., Bairagi, N. (2023). Dynamic characteristics of a hyperbolic reaction–diffusion predator–prey system with self-diffusion and nonidentical inertia. Mathematical Methods in the Applied Sciences, 46(13), 14407–14421.
Bhunia, B., Ghorai, S., Kar, T. K., Biswas, S., Bhutia, L. T., Debnath, P. (2023). A study of a spatiotemporal delayed predator–prey model with prey harvesting: Constant and periodic diffusion. Chaos, Solitons & Fractals, 175, 113967.
Sarkar, B., Sharma, P., Ghorai, S., Das, A., Mondal, S., Pan, S. (2023). Wave scattering by thin multiple bottom standing vertical porous walls in water of uniform finite depth. International Conference on Mathematical Modeling and Computational Science, 291–302. Springer Nature.
Mondal, S., Das, A., Pan, S., Sarkar, B., Ghorai, S. (2023). Application of differential transform method for solving some classes of singular integral equations. International Conference on Mathematical Modeling and Computational Science, 211–218. Springer Nature.
Ghorai, S., Umut, O., Poria, S. (2023). Analysis of patterns in an additional food-provided predator–prey reaction–diffusion model using amplitude equations. Pramana, 97(4), 200.
Ghorai, S., Poria, S., Bairagi, N. (2022). Diffusive instability in hyperbolic reaction–diffusion equations with different inertia. Chaos, 32(1).
Ghorai, S., Bairagi, N. (2022). Instabilities in hyperbolic reaction–diffusion systems with cross-diffusion and species-dependent inertia. Chaos, Solitons & Fractals, 165, 112800.
Ghorai, S., Chakraborty, B., Bairagi, N. (2021). Preferential selection of zooplankton and emergence of spatiotemporal patterns in plankton population. Chaos, Solitons & Fractals, 153, 111471.
Ghorai, S., Chakraborty, P., Poria, S., Bairagi, N. (2020). Dispersal-induced pattern-forming instabilities in host–parasitoid metapopulations. Nonlinear Dynamics, 100(1), 749–762.
Chakraborty, B., Ghorai, S., Bairagi, N. (2020). Reaction–diffusion predator–prey–parasite system and spatiotemporal complexity. Applied Mathematics and Computation, 386, 125518.
De, S., Ghorai, S., Mazumdar, H. P. (2020). Application of Leith’s model for the energy transfer process in isotropic gas–solid turbulent flow. Science and Culture, 86, 54.
Ghorai, S., Poria, S. (2017). Emergent impacts of quadratic mortality on pattern formation in a predator–prey system. Nonlinear Dynamics, 87(4), 2715–2734.
Ghorai, S., Poria, S. (2017). Pattern formation in a system involving prey–predation, competition and commensalism. Nonlinear Dynamics, 89(2), 1309–1326.
Ghorai, S., Poria, S. (2017). Impacts of additional food on diffusion-induced instabilities in a predator–prey system with mutually interfering predator. Chaos, Solitons & Fractals, 103, 68–78.
Mazumdar, H. P., Ghorai, S., Poria, S. (2017). The decay of isotropic turbulence preserving a general type of self-similarity. International Journal of Applied and Computational Mathematics, 3(1), 15–26.
Ghorai, S., Poria, S. (2016). Pattern formation and control of spatiotemporal chaos in a reaction–diffusion prey–predator system supplying additional food. Chaos, Solitons & Fractals, 85, 57–67.
Ghorai, S., Poria, S. (2016). Turing patterns induced by cross-diffusion in a predator–prey system in presence of habitat complexity. Chaos, Solitons & Fractals, 91, 421–429.