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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 310, Pages 135–142
DOI: https://doi.org/10.4213/tm4143 (Mi tm4143) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Existence of Optimal Stationary States of Exploited Populations with Diffusion

A. A. Davydovabc

a National University of Science and Technology MISIS, Leninskii pr. 4, Moscow, 119049 Russia
b Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991 Russia
c International Institute for Applied Systems Analysis (IIASA), Schlossplatz 1, A-2361 Laxenburg, Austria
Full-text PDF (138 kB) Citations (11)
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DOI: https://doi.org/10.4213/tm4143
Abstract: We study population dynamics with diffusion described by a parabolic equation with a logistic reaction term in the presence of exploitation consisting in constant harvesting of a part of the population density. Under natural constraints on the parameters of the model, we prove that there exists a stable stationary state of the population that provides the maximum profit of exploitation in the natural form.
Funding agency Grant number
Russian Science Foundation 19-11-00223
This work is supported by the Russian Science Foundation under grant 19-11-00223.
Received: February 25, 2020
Revised: June 5, 2020
Accepted: June 5, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 310, Pages 124–130
DOI: https://doi.org/10.1134/S0081543820050090
Bibliographic databases:
Document Type: Article
UDC: 517.97
Language: Russian
Citation: A. A. Davydov, “Existence of Optimal Stationary States of Exploited Populations with Diffusion”, Selected issues of mathematics and mechanics, Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov, Trudy Mat. Inst. Steklova, 310, Steklov Math. Inst., Moscow, 2020, 135–142; Proc. Steklov Inst. Math., 310 (2020), 124–130
Citation in format AMSBIB
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\inbook Selected issues of mathematics and mechanics
\bookinfo Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov
\serial Trudy Mat. Inst. Steklova
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\vol 310
\pages 135--142
\publ Steklov Math. Inst.
\publaddr Moscow
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    • This publication is cited in the following 11 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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