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2012 | OriginalPaper | Chapter

An optimal control problem for a tri-trophic chain system with diffusion

Author : N. C. Apreutesei

Published in: Operations Research Proceedings 2011

Publisher: Springer Berlin Heidelberg

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An optimal control problem is studied for a nonlinear reaction-diffusion system that describes the behavior of a trophic chain composed by a predator, a pest and a plant species. A pesticide is introduced in the ecosystem. It is regarded as a control variable. The purpose is to minimize the pest density and to maximize the plant density.

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previous chapter Optimal dividend and risk control in diffusion models with linear costs
next chapter Necessary Optimality Conditions for Improper Infinite-Horizon Control Problems
Metadata
Title
An optimal control problem for a tri-trophic chain system with diffusion
Author
N. C. Apreutesei
Copyright Year
2012
Publisher
Springer Berlin Heidelberg
Book
Operations Research Proceedings 2011

Print ISBN: 978-3-642-29209-5

Electronic ISBN: 978-3-642-29210-1

Copyright Year: 2012

DOI
https://doi.org/10.1007/978-3-642-29210-1_3