Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics (Q5930143)
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scientific article; zbMATH DE number 1587467
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics |
scientific article; zbMATH DE number 1587467 |
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Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics (English)
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11 April 2002
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harvesting
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optimal control
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elliptic equations
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Dirichlet boundary conditions
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population dynamics
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This paper studies an optimal control problem for a system of nonlinear elliptic equations with Dirichlet boundary conditions. This system arises from population dynamics. The authors give results about:NEWLINENEWLINENEWLINE-- existence and uniqueness of coexistence state systemsNEWLINENEWLINENEWLINE-- existence of an optimal control.NEWLINENEWLINENEWLINEMoreover, the optimal controls are characterized in terms of an optimality system, which is the state system coupled with the adjoint system.NEWLINENEWLINENEWLINENo concrete problem is treated.
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