Anupam De
@hithaldia.in
Associate Professor(Mathematics), School of Applied Science & Humanities
Haldia Institute of Technologyu
RESEARCH INTERESTS
Bio-Mathematics, Mathematical Modelling in Biology, Control Theory, Mathematical Epidemiology, Disease Modelling
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
K. Barman, K. Maity, R. N. Giri, and A. De
AIP Publishing
Sibaji Rit, Soovoojeet Jana, Anupam Khatua, Dibyendu Biswas, Biswajit Mondal, and Anupam De
Springer Science and Business Media LLC
Debnarayan Khatua, Anupam De, Samarjit Kar, Eshan Samanta, Arif Ahmed Sekh, and Debashree Guha Adhya
Springer Science and Business Media LLC
Debnarayan Khatua, Debashree Guha, Anupam De, and Budhaditya Mukherjee
Springer Nature Singapore
Debnarayan Khatua, , Anupam De, Samarjit Kar, Eshan Samanta, Santi M. Mandal, , , , and
Engineered Science Publisher
Anupam De, Kalipada Maity, Goutam Panigrahi, and Manoranjan Maiti
Springer International Publishing
Anupam De, Debnarayan Khatua, Kalipada Maity, Goutam Panigrahi, and Manoranjan Maiti
Springer International Publishing
Debnarayan Khatua, Anupam De, Kalipada Maity, and Samarjit Kar
EDP Sciences
In this paper, a fuzzy optimal control model for substitute items with stock and selling price dependent demand has been developed. Here the state variables (stocks) are assumed to be fuzzy variables. So the proposed dynamic control system can be represented as a fuzzy differential system which optimize the profit of the production inventory control model through Pontryagin’s maximum principle. The proposed fuzzy control problem has been transformed into an equivalent crisp differential system using “e” and “g” operators. The deterministic system is then solved by using Newton’s forward-backward method through MATLAB. Finally some numerical results are presented both in tabular and graphical form.
A. De, K. Maity, and G. Panigrahi
World Scientific Pub Co Pte Lt
In this paper, a two-species harvesting model has been considered and developed a solution procedure which is able to calculate the equilibrium points of the model where some biological parameters of the model are interval numbers. A parametric mathematical program is formulated to find the biological equilibrium of the model for different values of parameters. This interval-valued problem is converted into an equivalent crisp model using interval mathematics. The main advantage of the proposed procedure is that different characteristics of the model can be presented in a single framework. Analytically, the existence of steady state and stabilities are looked into. Using mathematical software, the model is illustrated and the results are obtained and presented in tabular and graphical forms.
A. De, K. Maity, Soovoojeet Jana, and M. Maiti
Elsevier BV
A. De, K. Maity, and M. Maiti
World Scientific Pub Co Pte Lt
The paper analyzes the influence of a susceptible–infectious–susceptible (SIS) infectious disease affecting both fish and broiler species. The paper also considers a joint SIS project of fish and broiler in which the growth rates of both species vary with available nutrients and environmental carrying capacities of biomasses. The nutrients for both species are functions of the biomasses of the two species. The harvesting rates of fish and broiler depend linearly on common effort function. It is assumed that the diseases are transmitted to the susceptible populations by direct contact with the infected populations. Using the medicine, some portion of the infected populations are transmitted to the susceptible populations. The existence of steady states and their stability are investigated analytically. The joint profit of the SIS model is maximized using Pontryagin’s maximum principle and corresponding optimum harvesting rates are also obtained. Using Mathematica software, the models are illustrated and the optimum results are obtained and presented in tabular and graphical forms.
A. De, K. Maity, and M. Maiti
World Scientific Pub Co Pte Lt
In this paper, we consider three species harvesting model and develop a solution procedure which is able to calculate the equilibrium points of the model where some biological parameters of the model are interval numbers. A parametric mathematical program is formulated to find the biological equilibrium of the model for different values of parameters. This interval-valued problem is converted into equivalent crisp model using interval operations. The main advantage of the proposed procedure is that we can present different characteristics of the model in a single framework. Analytically, the existence of steady state and stabilities are looked into. Using mathematical software, the model is illustrated and the results are obtained and presented in tabular and graphical forms.