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A combined project of prawns and poultry: a dynamical system
Author(s) -
Sana Shib Sankar,
Chaudhuri Kripasindhu
Publication year - 2011
Publication title -
reviews in aquaculture
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.998
H-Index - 47
eISSN - 1753-5131
pISSN - 1753-5123
DOI - 10.1111/j.1753-5131.2011.01053.x
Subject(s) - pontryagin's minimum principle , aquaculture , fishery , nutrient , profit (economics) , mathematics , ecology , environmental science , biology , control theory (sociology) , mathematical optimization , optimal control , fish <actinopterygii> , computer science , economics , microeconomics , control (management) , artificial intelligence
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.