Faculty Directory Ayan Paul
Ayan Paul

Ayan Paul

Assistant Professor

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 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

(1) Discrete Mathematics
(2) Probability and Statistics
(3) Fourier Series and Fourier Transformation
(4) Z transformation
(5) Ordinary Differential Equation

Positions Held

Assistant Professor

Publications

  1. 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)
  2. 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).
  3. 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)
  4. 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). 
  5. 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 )
  6. 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 )
  7. 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)
  8. 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