Title :
Perturbation formula for regular free boundaries in periodic-parabolic equations and minimization of extinction of endangered species
Author :
Stojanovic, Srdjan
Author_Institution :
Dept. of Math. Sci., Cincinnati Univ., OH, USA
Abstract :
A periodic-parabolic equation, with discontinuous semi-linearity causing a free boundary of obstacle type, with possible applications in ecology and in modeling population dynamics of an endangered species, is introduced and solved. Optimal control problem for such an equation, and in particular the problem of minimization of the area of extinction of a species, is introduced and solved, by deriving the perturbation formula for the free boundary
Keywords :
boundary-value problems; ecology; minimisation; optimal control; parabolic equations; perturbation techniques; ecology; endangered species modelling; free boundary; minimization; optimal control; periodic-parabolic equations; perturbation; population dynamics; Biological system modeling; Environmental factors; Equations; Gold; Mathematical model; Optimal control; Stability;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657825
