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Optimization of cereal output in presence of locusts
Author(s) -
Nacima Moussouni,
Mohamed Aidène
Publication year - 2016
Publication title -
an international journal of optimization and control theories and applications (ijocta)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 6
eISSN - 2146-5703
pISSN - 2146-0957
DOI - 10.11121/ijocta.01.2016.00254
Subject(s) - pontryagin's minimum principle , production (economics) , agricultural engineering , mathematics , control theory (sociology) , optimal control , agronomy , mathematical optimization , control (management) , computer science , engineering , biology , economics , microeconomics , artificial intelligence
In this paper, we study a modelization of the evolution of cereal output production, controlled by adding fertilizers and in presence of locusts, then by adding insecticides. The aim is to maximize the cereal output and meanwhile minimize pollution caused by adding fertilizers and insecticides. The optimal control problem obtained is solved theoretically by using the Pontryagin Maximum Principle, and then numerically with shooting method.

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