Bio-Mathematics, Mathematical Modelling in Biology, Control Theory, Mathematical Epidemiology, Disease Modelling
15
Scopus Publications
119
Scholar Citations
6
Scholar h-index
5
Scholar i10-index
Scopus Publications
Dynamical analysis of a Caputo-type epidemic system incorporating PRCC analysis and optimal control Sibaji Rit, Soovoojeet Jana, Anupam De, Suvankar Majee, Snehasis Barman Franklin Open, 2026 An investigation of the propagation way of infectious diseases with the population’s memory implications has been conducted using a three-compartmental fractional-order epidemic framework. The suggested system’s local asymptotic stability at the equilibria has been carefully investigated considering the basic reproduction number (R0) as the threshold. It has been shown that the fractional-order of the model, which reflects the population’s memory, affects the overall amount of infections during the persistence of virus. It is further observed that when R0 exceeds unity, a transcritical bifurcation is seen around the disease-free equilibrium. Additionally, two disease interventions namely, vaccination and treatment have been examined in order to study a fractional-order optimal control issue. A cost-effectiveness analysis has been used to establish the policies that will limit the spread of infections. To find out which parameters have a major influence on R0 and may thus be utilized to manage the infection, sensitivity indices are calculated.
Type 1 Cascaded Fuzzy Logic-Based Autonomous Vehicles Control Applications Eshan Samanta, Sagarika Pal, Anupam De Controller Design for Industrial Applications, 2025 Artificial intelligence (AI) is now growing with the utmost versatility. There are many unsolved problems resolved by introducing AI since earlier days in this present century. Many researchers have solved problems related to autonomous vehicle control by considering path planning and collision avoidance. These parameters are highly involved in the design of unmanned autonomous vehicles. It has been found that there are some concerned results that actually evolved with a good impact in the case of the simulation model. Meanwhile, during hardware application, it is quite difficult to implement the same due to errors from the sensor data and entire data processing. In this chapter, a novel cascaded fuzzy logic–based approach is discussed for path planning and collision avoidance control mechanisms for an autonomous vehicle. Simulation is performed in a MATLAB environment and validated by designing three separate fuzzy inference systems (FISs). One of the FISs collected data for collision avoidance by considering obstacles and their distance as inputs. The other FISs collected data from LiDAR sensors, and the output from collision avoidance FIS, to decide whether to stop, move, or turn as per the outcome achieved after the final defuzzification.
A Dynamic Optimal Control Model for SARS-CoV-2 in India Debnarayan Khatua, , Anupam De, Samarjit Kar, Eshan Samanta, Santi M. Mandal, , , , and Es Energy and Environment, 2021 The pandemic coronavirus has explored all over the world with a devastating negative impact on humanity indeed.The epidemic virus has dynamic genetic diversity that has never been encountered earlier.The mortality rate of the disease is increasing rapidly as the approved drug is not available yet.Only isolation from the infected individual or community is the only choice to save our existence.As the human is the only carrier so in that case if the host carriers are isolated from each other then it might be possible to control the spread of positive rates of the infected population.In this research work, we have presented an optimal control model for COVID-19 by following two different steps.In the first step, we formulated a Susceptible-Exposed-Infected-Asymptomatic-Recovered (SEIAR) model for COVID-19, analyzed and reported the disease dynamics for time-independent disease control parameters.In the second step, we discussed an optimal control model with time-dependent control parameters.The theoretical findings are validated graphically with some realistic data for the pandemic COVID-19 concerning India's perspective.
Dynamical analysis of a Caputo-type epidemic system incorporating PRCC analysis and optimal control SB Sibaji Rit, Soovoojeet Jana, Anupam De, Suvankar Majee Franklin Open 15 (100593), 100593(1-15) , 2026 2026
Risk prioritization in enterprise supply chains: application of fuzzy analytic hierarchy process S Mukherjee, A De, S Roy Business Process Management Journal 32 (2), 487-521 , 2026 2026 Citations: 4
Type 1 Cascaded Fuzzy Logic–Based Autonomous Vehicles Control Applications E Samanta, S Pal, A De Controller Design for Industrial Applications, 309-329 , 2025 2025
Fuzzy dynamic optimal model for covid-19 epidemic in india based on granular differentiability D Khatua, A De, S Kar, E Samanta, AA Sekh, D Guha Adhya Journal of Shanghai Jiaotong University (Science) 30 (3), 545-560 , 2025 2025 Citations: 11
Understanding HCV through the Lens of Mathematical Modeling: A Comprehensive Review B Kumar, MK Singh, D Khatua, A De Journal of Applied Nonlinear Dynamics 13 (04), 761-780 , 2024 2024 Citations: 1
Complex dynamics of a Caputo derivative-based fractional-order SIR model incorporating saturated incidence and recovery: S. Rit et al. S Rit, S Jana, A Khatua, D Biswas, B Mondal, A De International Journal of Dynamics and Control 12 (1), 246-258 , 2024 2024 Citations: 2
Prevention of Japanese encephalitis with different control strategies considering environmental effects: A mathematical study K Barman, K Maity, RN Giri, A De 5th INTERNATIONAL CONFERENCE ON CURRENT SCENARIO IN PURE AND APPLIED … , 2023 2023
A perspective on mathematical modeling and machine learning models to predict visceral leishmaniasis D Khatua, D Guha, A De, B Mukherjee Pathobiology of Parasitic Protozoa: Dynamics and Dimensions, 175-187 , 2023 2023 Citations: 3
A Dynamic Optimal Control Model for SARS-CoV-2 in India D Khatua, A De, S Kar, ESSM Mandal ES Energy & Environment 13, 87-97 , 2021 2021 Citations: 20
Optimal Control of Dengue-Chikungunya Co-infection: A Mathematical Study A De, K Maity, G Panigrahi, M Maiti Intelligence Science III 623, 291-302 , 2021 2021 Citations: 2
Stability Analysis of Imprecise Prey-Predator Model A De, D Khatua, K Maity, G Panigrahi, M Maiti Intelligence Science III 623, 229-240 , 2021 2021
Analysis of SIR-network model on COVID-19 with respect to its impact on West Bengal in India D Khatua, D Guha, S Kar, A De, E Samanta medRxiv, 2020.08. 05.20169037 , 2020 2020 Citations: 3
Use of “e” and “g” operators to a fuzzy production inventory control model for substitute items D Khatua, A De, K Maity, S Kar RAIRO-Operations Research 53 (2), 473-486 , 2019 2019 Citations: 14
Fish and broiler optimal harvesting models in imprecise environment A De, K Maity, G Panigrahi International Journal of Biomathematics 10 (08), 1750115 , 2017 2017 Citations: 6
Application of various control strategies to Japanese encephalitic: A mathematical study with human, pig and mosquito A De, K Maity, S Jana, M Maiti Mathematical biosciences 282, 46-60 , 2016 2016 Citations: 31
An integrated project of fish and broiler: SIS model with optimal harvesting A De, K Maity, M Maiti International Journal of Biomathematics 9 (06), 1650088 , 2016 2016 Citations: 5
Stability analysis of combined project of fish, broiler and ducks: dynamical system in imprecise environment A De, K Maity, M Maiti International Journal of Biomathematics 8 (05), 1550067 , 2015 2015 Citations: 17
MOST CITED SCHOLAR PUBLICATIONS
Application of various control strategies to Japanese encephalitic: A mathematical study with human, pig and mosquito A De, K Maity, S Jana, M Maiti Mathematical biosciences 282, 46-60 , 2016 2016 Citations: 31
A Dynamic Optimal Control Model for SARS-CoV-2 in India D Khatua, A De, S Kar, ESSM Mandal ES Energy & Environment 13, 87-97 , 2021 2021 Citations: 20
Stability analysis of combined project of fish, broiler and ducks: dynamical system in imprecise environment A De, K Maity, M Maiti International Journal of Biomathematics 8 (05), 1550067 , 2015 2015 Citations: 17
Use of “e” and “g” operators to a fuzzy production inventory control model for substitute items D Khatua, A De, K Maity, S Kar RAIRO-Operations Research 53 (2), 473-486 , 2019 2019 Citations: 14
Fuzzy dynamic optimal model for covid-19 epidemic in india based on granular differentiability D Khatua, A De, S Kar, E Samanta, AA Sekh, D Guha Adhya Journal of Shanghai Jiaotong University (Science) 30 (3), 545-560 , 2025 2025 Citations: 11
Fish and broiler optimal harvesting models in imprecise environment A De, K Maity, G Panigrahi International Journal of Biomathematics 10 (08), 1750115 , 2017 2017 Citations: 6
An integrated project of fish and broiler: SIS model with optimal harvesting A De, K Maity, M Maiti International Journal of Biomathematics 9 (06), 1650088 , 2016 2016 Citations: 5
Risk prioritization in enterprise supply chains: application of fuzzy analytic hierarchy process S Mukherjee, A De, S Roy Business Process Management Journal 32 (2), 487-521 , 2026 2026 Citations: 4
A perspective on mathematical modeling and machine learning models to predict visceral leishmaniasis D Khatua, D Guha, A De, B Mukherjee Pathobiology of Parasitic Protozoa: Dynamics and Dimensions, 175-187 , 2023 2023 Citations: 3
Analysis of SIR-network model on COVID-19 with respect to its impact on West Bengal in India D Khatua, D Guha, S Kar, A De, E Samanta medRxiv, 2020.08. 05.20169037 , 2020 2020 Citations: 3
Complex dynamics of a Caputo derivative-based fractional-order SIR model incorporating saturated incidence and recovery: S. Rit et al. S Rit, S Jana, A Khatua, D Biswas, B Mondal, A De International Journal of Dynamics and Control 12 (1), 246-258 , 2024 2024 Citations: 2
Optimal Control of Dengue-Chikungunya Co-infection: A Mathematical Study A De, K Maity, G Panigrahi, M Maiti Intelligence Science III 623, 291-302 , 2021 2021 Citations: 2
Understanding HCV through the Lens of Mathematical Modeling: A Comprehensive Review B Kumar, MK Singh, D Khatua, A De Journal of Applied Nonlinear Dynamics 13 (04), 761-780 , 2024 2024 Citations: 1
Dynamical analysis of a Caputo-type epidemic system incorporating PRCC analysis and optimal control SB Sibaji Rit, Soovoojeet Jana, Anupam De, Suvankar Majee Franklin Open 15 (100593), 100593(1-15) , 2026 2026
Type 1 Cascaded Fuzzy Logic–Based Autonomous Vehicles Control Applications E Samanta, S Pal, A De Controller Design for Industrial Applications, 309-329 , 2025 2025
Prevention of Japanese encephalitis with different control strategies considering environmental effects: A mathematical study K Barman, K Maity, RN Giri, A De 5th INTERNATIONAL CONFERENCE ON CURRENT SCENARIO IN PURE AND APPLIED … , 2023 2023
Stability Analysis of Imprecise Prey-Predator Model A De, D Khatua, K Maity, G Panigrahi, M Maiti Intelligence Science III 623, 229-240 , 2021 2021