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

  • N. C. Apreutesei
Conference paper
Part of the Operations Research Proceedings book series (ORP)


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.


Control Problem Optimal Control Problem Adjoint System Trophic Chain Minimal Pair 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of MathematicsTechnical University ”Gh. Asachi” IasiIasiRomania

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