Academic Information
PhD from ISI Kolkata
MSC from Department of Applied Mathematics, University of Calcutta
BSC from Maulana Azad College, University of Calcutta
Life Member of Society for Mathematical Biology
Life Member of Ecological Society of America
Research Areas
Research Interests
Theoretical explorations on the growth process of species to identify the inherent growth mechanics and minute differences among the growth profiles. Consequently, the species' growth process needs extensive laboratory iterations and optimizations to get the maximum yields. Hence, analysis of the growth trajectories through theoretical approaches makes the processes easy to optimize the high yielding and economic growth conditions for the hatcheries with minimum laboratory iterations. However, the iteration process imparts enormous costs to the entire culture protocol, and the hatchery people need to fulfill the market demands cost-effectively. So, we will try to figure out the optimal conditions for Artemia sp. culture based on experimental and modeling knowledge.
Moreover, the growth curve is vital for understanding species development. Stochastic environments can push populations to extinction, emphasizing the need for conservation strategies. The second and third chapters address negative density-dependent phenomena, incorporating stochasticity through growth rate and carrying capacity. Global population dynamics data highlight species on the brink of extinction due to habitat changes, leading to non-monotonic fitness profiles. The fourth chapter estimates growth during species adaptation, addressing mate limitation and overexploitation causing positive density dependence at low population sizes. The fifth chapter provides sustainability and conservation guidelines for species experiencing the genetic Allee effect due to environmental disturbances.
Courses Taught
(2) Probability and Statistics
(3) Fourier Series and Fourier Transformation
(4) Z transformation
(5) Ordinary Differential Equation
Positions Held
Publications
- Paul, A*., Mukhopadhyay, S.. Can bounded environmental fluctuations shield species from extinction? Insights from a non-diffusive stochastic Allee growth model., 2026, Physica A, . (Link for Download)
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Paul, A*., Mukherjee, T., Saha, B., and Chattopadhyay, J. Non-lethal effects on the hunting strategy of predator: a data driven approach using classical mechanics and schedule of fear., 2026 Theoretical Ecology. (Link for Download)
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Ray, H., Paul, A., Pal, S., Das, S., Borah, P., and Mandal, S. Distribution and abundance of key biondicator gastropod species of the Sundarban mangrove ecosystem, India, 2026 Ecological Research.
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Panda, S., Paul, A*., Chattopadhyay, A., and Chattopadhyay, J. A novel attempt to describe the impact of infectious disease on the nation’s economy: an illustration through the Econo-epidemics model. The European Physical Journal Plus. (Link for Download)
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Mortoja, S. G., Paul, A., Panja, P., Bhattacharya, S., and Mondal, S. K. Role reversals in a tritrophic prey-predator interaction system: A model-based study using deterministic and stochastic approaches. Mathematical and Computational Applications. (Link for Download)
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Deb, D., Paul, A., and Bhattacharya, S., Adjustment of flower opening time and duration in tropical rice (Oryza sativa ssp. indica): Landraces response to heat stress. Journal of Agronomy and Crop Science.
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Das, Manobrata, Paul, A., Bhattacharya, S., and Basu, P. Pollinator visitation decline due to pesticide application beyond threshold frequency brings down crop yield. Ecological Entomology.
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Bose, R., Paul, A., Dutta, R., Hazra, A., Pramanik, A., and Biswas, S. M., Synthesis, antimicrobial, anticancer evaluation and molecular docking with Bax and MDM2 of dibromosterculic acid. Natural Product Research, (Link for Download)
- Paul, A., Chatterjee, N., and Bhattacharya, S. Revisiting and redefining return rate for the determination of the precise growth status of a species. Journal of Biological Physics, pp. 1-40. (Link for Download).
- Reja, S., Ghosh, S., Ghosh, I., Paul, A. and Bhattacharya, S., 2022. Investigation and control strategy for canine distemper disease on endangered wild dog species: a model-based approach. SN Applied Sciences, 4(6), pp.1-20. (Link for Download)
- Paul, A., Ghosh, N., and Bhattacharya, S. Estimation of the present status of the species based on the theoretical bounds of environmental noise intensity: An illustration through a big abundance data and simulation. Theoretical Ecology. (Link for Download).
- Paul, A., Reja, S., Kundu, S., and Bhattacharya, S., 2021. COVID-19 pandemic models revisited with a new proposal: Plenty of epidemiological models outcast the simple population dynamics solution. Chaos, Solitons & Fractals, p.110697. (Link for Download )
- Kundu, S., Dasgupta, N., Chakraborty, B., Paul, A., Ray, S., and Bhattacharya, S., 2021. Growth acceleration is the key for identifying the most favorable food concentration of Artemia sp. Ecological Modelling, 455, p.109639. (Link for Download )
- Roy, T., Ghosh, S., Kundu, S., Paul, A. and Bhattacharya, S., 2021. On developing a mathematical model for self-inducing proliferation and its regulation: Illustrations through scratch assay and stem cell data. Bulletin of Calcutta Mathematical Society 113(4), pp.271-308. (Link for Download)
- Mortoja, S.G., Panja, P., Paul, A., Bhattacharya, S. and Mondal, S.K., 2020. Is the intermediate predator a key regulator of a tri-trophic food chain model?: An illustration through a new functional response. Chaos, Solitons & Fractals, 132, p.109613. (Link for Download)