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Study of two species prey-predator model in imprecise environment with MSY policy under different harvesting scenario
Authors:Mahata  Animesh  Mondal  Sankar Prasad  Roy  Banamali  Alam  Shariful
Institution:1.Mahadevnagar High School, Mahadevnagar, Maheshtala, Dist. South 24 Parganas, Kolkata, 700141, India
;2.Department of Applied Science, Maulana Abul Kalam Azad University of Technology, Haringhata, Nadia, West Bengal, 741249, India
;3.Department of Mathematics, Bangabasi Evening College, Kolkata, West Bengal, 700009, India
;4.Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, 711103, India
;
Abstract:

Parameters involve in various ecological models are mostly uncertain due to ever changing characteristic of nature. This article, deals with a basic predator–prey model where ecological parameters are considered as parametric-functional nature of interval numbers. The dynamical behaviors of the model system have been discussed in the imprecise environment. Moreover, the concept of maximum sustainable yield (MSY) has been incorporated in the model system under imprecise environment, and MSY policies under different harvesting scenarios have been discussed. Finally all the analytical findings are testified through extensive numerical simulations and the article ended with a conclusion.

Keywords:
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