Research Theme:
M. Sc Thesis Title: Deterministic and Stochastic Analysis on von Bertalanffy and Gordon-Schaefer Fishery Models.
Rapid industrialization and rising energy and resource consumptions have led scientists to believe that the optimal exploitation and efficient management of the resources- renewable as well as non-renewable are the impelling needs of the day and demand urgent attention of all concerned. Fishery is a prime example of renewable resources that the human race has been exploiting for its survival and shelter since the time immemorial. To cater the needs of non-specialists, and to make the work self sufficient, we proposed two deterministic models, namely,
von-Bertalanffy and logistic growth models for fishery management. The models have been verified through real data.
Further, uncertainties arise in several ways in biological growth of these resources and also in the management due to the involvement of unpredictable human behavior, and thus the problems render as stochastic in nature. Therefore, the proposed deterministic models further reformulated by the stochastic differential equation in terms of which the models have been developed.
Beside these research problems, theoretically and practically I have studied Queuing models as well as birth and death models, which are widely used in IT sector also