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An Optimal Control Problem for a Predator-Prey Reaction-Diffusion System
Published online by Cambridge University Press: 13 September 2010
Abstract
An optimal control problem is studied for a predator-prey system of PDE, with a logistic growth rate of the prey and a general functional response of the predator. The control function has two components. The purpose is to maximize a mean density of the two species in their habitat. The existence of the optimal solution is analyzed and some necessary optimality conditions are established. The form of the optimal control is found in some particular cases.
Keywords
- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 6: Ecology (Part 2) , 2010 , pp. 180 - 195
- Copyright
- © EDP Sciences, 2010
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