| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1708796 | Applied Mathematics Letters | 2011 | 5 Pages |
Abstract
An optimal control problem is studied for an ecosystem composed by one predator and two prey populations. Its dynamics is modelled by a reaction–diffusion system of Volterra type. Two control variables are introduced in the system; their meaning is the mixture rates between predator and each prey population. The goal of this paper is to maximize the total density of the three populations at a fixed time moment. The existence of the optimal control is established and necessary optimality conditions are found with the aid of a maximum principle.
Related Topics
Physical Sciences and Engineering
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Computational Mechanics
Authors
N.C. Apreutesei,