TY - JOUR
T1 - Optimal control of boundary habitat hostility for interacting species
AU - Lenhart, Suzanne
AU - Liang, Min
AU - Protopopescu, Vladimir
PY - 1999/9/10
Y1 - 1999/9/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0033339313&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1099-1476(19990910)22:13<1061::AID-MMA70>3.0.CO;2-I
DO - 10.1002/(SICI)1099-1476(19990910)22:13<1061::AID-MMA70>3.0.CO;2-I
M3 - Article
AN - SCOPUS:0033339313
SN - 0170-4214
VL - 22
SP - 1061
EP - 1077
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
IS - 13
ER -