Optimal control of boundary habitat hostility for interacting species

Suzanne Lenhart, Min Liang, Vladimir Protopopescu

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

We consider boundary control for a parabolic system describing the evolution of two interacting species in a bounded habitat. The control models the hostility of the boundary environment to the maintenance of the species. The objective functional represents the balance between the ecological benefit (modelled by the size of the two populations) and the economic cost of maintaining an ecologically favorable boundary environment (modelled by the boundary friendliness). The unique optimal control is characterized in terms of the solution of the optimality system, which consists of the state system coupled with an adjoint system.

Original languageEnglish
Pages (from-to)1061-1077
Number of pages17
JournalMathematical Methods in the Applied Sciences
Volume22
Issue number13
DOIs
StatePublished - Sep 10 1999

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