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Optimal harvesting strategy based on rearrangements of functions
School of Mathematical Sciences, The University of Nottingham Ningbo, China.
Halmstad University, School of Information Technology, Halmstad Embedded and Intelligent Systems Research (EIS), Centre for Research on Embedded Systems (CERES).ORCID iD: 0000-0002-1879-0763
Beijing International Center for Mathematical Research, Peking University, China.
2018 (English)In: Applied Mathematics and Computation, ISSN 0096-3003, E-ISSN 1873-5649, Vol. 320, p. 677-690Article in journal (Refereed) Published
Abstract [en]

We study the problem of optimal harvesting of a marine species in a bounded domain, with the aim of minimizing harm to the species, under the general assumption that the fishing boats have different capacities. This is a generalization of a result of Kurata and Shi, in which the boats were assumed to have the same maximum harvesting capacity. For this generalization, we need a completely different approach. As such, we use the theory of rearrangements of functions. We prove existence of solutions, and obtain an optimality condition which indicates that the more aggressive harvesting must be pushed toward the boundary of the domain. Furthermore, we prove that radial and Steiner symmetries of the domain are preserved by the solutions. We will also devise an algorithm for numerical solution of the problem, and present the results of some numerical experiments. © 2017 Elsevier Inc.

Place, publisher, year, edition, pages
Amsterdam: Elsevier, 2018. Vol. 320, p. 677-690
Keywords [en]
Boats, Crystal symmetry, Fishing vessels, Optimization, Bounded domain, Existence of Solutions, Marine species, Numerical experiments, Numerical solution, Optimal harvesting, Optimality conditions, Reaction diffusion, Harvesting
National Category
Mathematical Analysis Computational Mathematics Discrete Mathematics
Identifiers
URN: urn:nbn:se:hh:diva-38714DOI: 10.1016/j.amc.2017.10.006ISI: 000417519600056Scopus ID: 2-s2.0-85032664267OAI: oai:DiVA.org:hh-38714DiVA, id: diva2:1276373
Available from: 2019-01-08 Created: 2019-01-08 Last updated: 2019-01-08Bibliographically approved

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Farjudian, Amin

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  • apa
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