Dr. Santanu Bhattacharya

@jadavpuruniversity.in

Research Associate in the Department of Mathematics
Jadavpur University

Dr. Santanu Bhattacharya


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https://researchid.co/bsantanu65

RESEARCH, TEACHING, or OTHER INTERESTS

Applied Mathematics, Modeling and Simulation, Ecology, Evolution, Behavior and Systematics, Epidemiology
9

Scopus Publications

110

Scholar Citations

6

Scholar h-index

5

Scholar i10-index

Scopus Publications

  • Regime shift and unbounded price in ecological–economic models: an interplay between harvesting and demand functions
    Santanu Bhattacharya, Nandadulal Bairagi
    European Physical Journal Plus, 2025
  • Dynamic optimization of fishing tax and tourism fees for sustainable bioeconomic resource management
    Santanu Bhattacharya, , Nandadulal Bairagi, and
    Mathematical Biosciences and Engineering, 2025
    Balancing economic prosperity with environmental conservation is crucial in managing renewable bioeconomic resources. We explored a predator-prey fishery model that incorporates tourism, dynamic harvesting, and pricing strategies. Our analysis showed that increased fishing taxes reduce fishing efforts, enabling fish populations to recover. Furthermore, higher entrance fees for ecotourism support the predator population's growth. Bifurcation analysis revealed key dynamic transitions, including transcritical and Hopf bifurcations. A deeper look into coupled parameter bifurcation uncovered a transcritical bifurcation of the limit cycle, emphasizing the system's complexity. Using Pontryagin's maximum principle, we optimized fishing taxes and ecotourism entrance fees to achieve sustainable trade-offs between ecosystem health and societal revenue. The results highlighted that societal revenue peaked at an intermediate level of entrance fees, suggesting diminishing returns beyond a certain point. Revenue landscape analysis further showed that centralized, two-parameter optimization strategies outperform decentralized, single-parameter approaches. These insights provide policymakers with effective tools to design regulations that promote ecological resilience and economic viability through balanced fishing and tourism practices.
  • Dynamic patterns in herding predator-prey system: Analyzing the impact of inertial delays and harvesting
    Santanu Bhattacharya, Santu Ghorai, Nandadulal Bairagi
    Chaos, 2024
    This study expands traditional reaction–diffusion models by incorporating hyperbolic dynamics to explore the effects of inertial delays on pattern formation. The kinetic system considers a harvested predator–prey model where predator and prey populations gather in herds. Diffusion and inertial effects are subsequently introduced. Theoretical frameworks establish conditions for stability, revealing that inertial delay notably alters diffusion-induced instabilities and Hopf bifurcations. The inclusion of inertial effects narrows the stability region of the kinetic system by wave instability, which cannot arise in a two-variable spatiotemporal system without inertia. Computational simulations demonstrate that Turing and wave instabilities lead to diverse spatial and spatiotemporal patterns. This study highlights that initial conditions influence wave instability, generating distinct patterns based on different initial values, while other instabilities remain unaffected. Additionally, patterns, such as hot spots, cold spots, and stripes, are observed within the Turing region. The impact of harvesting on spatiotemporal system stability is also examined, showing that increased harvesting efforts can shift systems between unstable and uniform states. The findings provide practical implications for ecological modeling, offering insights into how inertial delays and harvesting practices affect pattern formation in natural populations.
  • An integrated dynamic biological supply chain management with three layers under logistic strategies
    Biswajit Sarkar, Nandadulal Bairagi, Santanu Bhattacharya
    Computers and Industrial Engineering, 2024
  • Dynamic properties of a reaction–diffusion predator–prey model with nonlinear harvesting: A linear and weakly nonlinear analysis
    Sounov Marick, Santanu Bhattacharya, Nandadulal Bairagi
    Chaos Solitons and Fractals, 2023
  • An ecological-economic fishery model: Maximizing the societal benefit through an integrated approach of fishing and ecotourism
    Biswajit Sarkar, Santanu Bhattacharya, Nandadulal Bairagi
    Mathematical Methods in the Applied Sciences, 2023
    One of the essential tasks of the modern fishery is to integrate fishery‐based tourism with it as a part of sustainable development. Here, we propose and study a two‐species fishery model where the ecological and economic concepts are integrated. The objectives are to demonstrate the effect of fishing tax and tourist entrance fees to stabilize fishery dynamics and maximize revenue generation. For this, we consider a predator–prey fishery model coupled with dynamic harvesting and time‐dependent fish price variation. The prey fish is commercially harvested, and the predatory fish is used for recreation purposes of the visitors with an entry fee. A fishing tax is levied on the fishers to restrict the overfishing of this renewable resource. We provide the local and global stability conditions of different equilibrium points of the system and unveil the broader dynamics through bifurcation analysis. Pontryagin's maximum principle shows the existence of an optimal fishing tax that maximizes overall revenue generation.
  • Optimization of energy cycle under a sustainable supply chain management
    Mitali Sarkar, Abhijit Majumder, Santanu Bhattacharya, Biswajit Sarkar
    RAIRO Operations Research, 2023
    The energy supply chain research is very much essential as the amount of non-renewable or traditional energy is fixed and finite. In contrast, the energy demand is high and continuously increasing. An energy supply chain model is studied with a waste-supplier and an energy-supplier. The waste-supplier collects wastes and transfers them to the energy-supplier for energy conversion. This energy chain is managed among players and studied how the energy can be distributed to consumers such that no shortage of energy occurs. The model is formulated on the different waste and energy cycles. The supply chain’s minimum total cost is acquired using the optimum cycle length of the energy cycle. The model is solved with a classical optimization method. The closed-form solution is obtained with the global minimum cost. The numerical assessment is investigated to prove the validity of the proposed study. Through the numerical findings and sensitivity exploration, several managerial insights are provided. The numerical investigation obtains that the recommended strategy can provide a non-shortage benefit of energy allotment. The total cost can be saved up to 93.82% for the renewable energy conversion with the same energy and waste cycle with no discarded wastes. For different energy and waste cycle with no discarded wastes, the total cost can be reduced by 21.83%.
  • Demand-induced regime shift in fishery: A mathematical perspective
    Nandadulal Bairagi, Santanu Bhattacharya, Biswajit Sarkar
    Mathematical Biosciences, 2023
  • Bioeconomics fishery model in presence of infection: Sustainability and demand-price perspectives
    Nandadulal Bairagi, Santanu Bhattacharya, Pierre Auger, Biswajit Sarkar
    Applied Mathematics and Computation, 2021

RECENT SCHOLAR PUBLICATIONS

  • Regime shift and unbounded price in ecological–economic models: an interplay between harvesting and demand functions
    S Bhattacharya, N Bairagi
    The European Physical Journal Plus 140 (6), 539 , 2025
    2025
    Citations: 1
  • Dynamic optimization of fishing tax and tourism fees for sustainable bioeconomic resource management
    S Bhattacharya, N Bairagi
    Mathematical Biosciences and Engineering 22 (7), 1751-1789 , 2025
    2025
    Citations: 1
  • Dynamic patterns in herding predator–prey system: Analyzing the impact of inertial delays and harvesting
    S Bhattacharya, S Ghorai, N Bairagi
    Chaos: An Interdisciplinary Journal of Nonlinear Science 34 (12) , 2024
    2024
    Citations: 4
  • An integrated dynamic biological supply chain management with three layers under logistic strategies
    B Sarkar, N Bairagi, S Bhattacharya
    Computers & Industrial Engineering 194, 110387 , 2024
    2024
    Citations: 17
  • Dynamic properties of a reaction–diffusion predator–prey model with nonlinear harvesting: A linear and weakly nonlinear analysis
    S Marick, S Bhattacharya, N Bairagi
    Chaos, Solitons & Fractals 175, 113996 , 2023
    2023
    Citations: 17
  • An ecological‐economic fishery model: Maximizing the societal benefit through an integrated approach of fishing and ecotourism
    B Sarkar, S Bhattacharya, N Bairagi
    Mathematical Methods in the Applied Sciences 46 (14), 14962-14982 , 2023
    2023
    Citations: 15
  • Optimization of energy cycle under a sustainable supply chain management
    M Sarkar, A Majumder, S Bhattacharya, B Sarkar
    RAIRO-Operations Research 57 (4), 2177-2196 , 2023
    2023
    Citations: 6
  • Demand-induced regime shift in fishery: A mathematical perspective
    N Bairagi, S Bhattacharya, B Sarkar
    Mathematical Biosciences 361, 109008 , 2023
    2023
    Citations: 10
  • Dynamic behaviour of a single-species nonlinear fishery model with infection: the role of fishing tax and time-dependent market price.
    B Sarkar, S Bhattacharya, N Bairagi
    Journal of Nonlinear Sciences & Applications (JNSA) 16 (3) , 2023
    2023
    Citations: 7
  • Bioeconomics fishery model in presence of infection: Sustainability and demand-price perspectives
    N Bairagi, S Bhattacharya, P Auger, B Sarkar
    Applied Mathematics and Computation 405, 126225 , 2021
    2021
    Citations: 32

MOST CITED SCHOLAR PUBLICATIONS

  • Bioeconomics fishery model in presence of infection: Sustainability and demand-price perspectives
    N Bairagi, S Bhattacharya, P Auger, B Sarkar
    Applied Mathematics and Computation 405, 126225 , 2021
    2021
    Citations: 32
  • An integrated dynamic biological supply chain management with three layers under logistic strategies
    B Sarkar, N Bairagi, S Bhattacharya
    Computers & Industrial Engineering 194, 110387 , 2024
    2024
    Citations: 17
  • Dynamic properties of a reaction–diffusion predator–prey model with nonlinear harvesting: A linear and weakly nonlinear analysis
    S Marick, S Bhattacharya, N Bairagi
    Chaos, Solitons & Fractals 175, 113996 , 2023
    2023
    Citations: 17
  • An ecological‐economic fishery model: Maximizing the societal benefit through an integrated approach of fishing and ecotourism
    B Sarkar, S Bhattacharya, N Bairagi
    Mathematical Methods in the Applied Sciences 46 (14), 14962-14982 , 2023
    2023
    Citations: 15
  • Demand-induced regime shift in fishery: A mathematical perspective
    N Bairagi, S Bhattacharya, B Sarkar
    Mathematical Biosciences 361, 109008 , 2023
    2023
    Citations: 10
  • Dynamic behaviour of a single-species nonlinear fishery model with infection: the role of fishing tax and time-dependent market price.
    B Sarkar, S Bhattacharya, N Bairagi
    Journal of Nonlinear Sciences & Applications (JNSA) 16 (3) , 2023
    2023
    Citations: 7
  • Optimization of energy cycle under a sustainable supply chain management
    M Sarkar, A Majumder, S Bhattacharya, B Sarkar
    RAIRO-Operations Research 57 (4), 2177-2196 , 2023
    2023
    Citations: 6
  • Dynamic patterns in herding predator–prey system: Analyzing the impact of inertial delays and harvesting
    S Bhattacharya, S Ghorai, N Bairagi
    Chaos: An Interdisciplinary Journal of Nonlinear Science 34 (12) , 2024
    2024
    Citations: 4
  • Regime shift and unbounded price in ecological–economic models: an interplay between harvesting and demand functions
    S Bhattacharya, N Bairagi
    The European Physical Journal Plus 140 (6), 539 , 2025
    2025
    Citations: 1
  • Dynamic optimization of fishing tax and tourism fees for sustainable bioeconomic resource management
    S Bhattacharya, N Bairagi
    Mathematical Biosciences and Engineering 22 (7), 1751-1789 , 2025
    2025
    Citations: 1