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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 89–94 (Mi timm1002)  

This article is cited in 2 scientific papers (total in 2 papers)

Optimal exploitation of two competing size-structured populations

A. A. Davydovab, A. S. Platova

a Vladimir State University
b International Institute for Applied Systems Analysis, Laxenburg
Full-text PDF (135 kB) Citations (2)
References:
Abstract: For a model describing the dynamics of two competing size-structured populations under chosen intensities of their exploitation, the existence and uniqueness of a stationary solution is proved. It is shown that there exist exploitation intensities that maximize a given profit functional on the stationary solution corresponding to them.
Keywords: size-structured population, optimal exploitation, stationary solution.
Received: 30.07.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 287, Issue 1, Pages 49–54
DOI: https://doi.org/10.1134/S0081543814090053
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. A. Davydov, A. S. Platov, “Optimal exploitation of two competing size-structured populations”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 89–94; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 49–54
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/timm/v19/i4/p89
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Abstract page:705
    Full-text PDF :228
    References:82
    First page:11
     
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