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A combined project of prawns and poultry: a dynamical system

Authors


Shib Sankar Sana, Department of Mathematics, Bhangar Mahavidyalaya, University of Calcutta, Bhangar, Pin-743502, 24PGS (South), West Bengal, India.
Email: shib_sankar@yahoo.com

Abstract

This review examines a joint project involving prawns and broilers. The growth rates of both species vary with available nutrients. The nutrients for both species are functions of the biomasses of the two species. The harvesting rates of prawns and broilers depend non-linearly on effort functions. The existence of steady states and their stability (local and global) are investigated analytically. The joint profit of the project is maximized using Pontryagin’s maximum principle. The model is also illustrated using suitable numerical examples and demonstrated graphically.

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