𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimal control of boundary habitat hostility for interacting species

✍ Scribed by Suzanne Lenhart; Min Liang; Vladimir Protopopescu

Book ID
101283533
Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
139 KB
Volume
22
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 bene"t (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.

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