caa a22 4500 606233237 CHVBK 20210128101231.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10883-015-9271-x doi (NATIONALLICENCE)springer-10.1007/s10883-015-9271-x Optimal Cyclic Exploitation of Renewable Resources [Elektronische Daten] [Anton Belyakov, Alexey Davydov, Vladimir Veliov] The paper contributes to the topic of optimal utilization of spatially distributed renewable resources. Namely, a problem of "sustainable” optimal cyclic exploitation of a renewable resource with logistic law of recovery is investigated. The resource is distributed on a circle and is collected by a single harvester moving along the circle. The recovering and harvesting rates are position dependent, and the latter depends also on the velocity of the harvester, which is considered as a control. The existence of an optimal solution is proved, as well as necessary optimality conditions for the velocity of the harvester. On this base, a numerical approach is proposed, and some qualitative properties of the optimal solutions are established. The results are illustrated by numerical examples, which reveal some economically meaningful features of the optimal harvesting. Springer Science+Business Media New York, 2015 Spacial heterogeneity nationallicence Optimal harvesting nationallicence Averaged functional nationallicence Belyakov Anton Institute of Mathematical Methods in Economics, Vienna University of Technology Argentinierstr, 8/E105-4, 1040, Vienna, Austria aut Davydov Alexey Functional Analysis and Its Applications Department, Vladimir State University named after Alexander and Nikolay Stoletovs, Gorkogo 87, 600000, Vladimir, Russia aut Veliov Vladimir Institute of Mathematical Methods in Economics, Vienna University of Technology Argentinierstr, 8/E105-4, 1040, Vienna, Austria aut Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/3(2015-07-01), 475-494 1079-2724 21:3<475 2015 21 10883 https://doi.org/10.1007/s10883-015-9271-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10883-015-9271-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Belyakov Anton Institute of Mathematical Methods in Economics, Vienna University of Technology Argentinierstr, 8/E105-4, 1040, Vienna, Austria aut NATIONALLICENCE 700 1- Davydov Alexey Functional Analysis and Its Applications Department, Vladimir State University named after Alexander and Nikolay Stoletovs, Gorkogo 87, 600000, Vladimir, Russia aut NATIONALLICENCE 700 1- Veliov Vladimir Institute of Mathematical Methods in Economics, Vienna University of Technology Argentinierstr, 8/E105-4, 1040, Vienna, Austria aut NATIONALLICENCE 773 0- Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/3(2015-07-01), 475-494 1079-2724 21:3<475 2015 21 10883