×

Duality in an optimal harvesting problem by a nonlinear age-spatial structured population dynamic system. (English) Zbl 1239.35172

Summary: Duality in the optimal harvesting for a nonlinear age-spatial structured population dynamic model is studied in the framework of optimal control problems. In this paper, the duality theory that displays the conjugacy of the primal problem is established and an application is given. Duality theory plays an important role in both optimization theory and methodology, and the results may be applied to a realistic biological system on the point of optimal harvesting.

MSC:

35Q93 PDEs in connection with control and optimization
49J20 Existence theories for optimal control problems involving partial differential equations
49K20 Optimality conditions for problems involving partial differential equations
92D25 Population dynamics (general)
PDFBibTeX XMLCite
Full Text: DOI