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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 3 scientific papers (total in 3 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 (3)
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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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Linking options:
  • https://www.mathnet.ru/eng/timm1002
  • https://www.mathnet.ru/eng/timm/v19/i4/p89
    • This publication is cited in the following 3 articles:
    1. A. A. Davydov, A. S. Platov, D. V. Tunitskii, “Suschestvovanie optimalnogo statsionarnogo resheniya v KPP-modeli pri nelokalnoi konkurentsii”, Tr. IMM UrO RAN, 30, no. 3, 2024, 113–121  mathnet  crossref  elib
    2. A. A. Davydov, A. S. Platov, D. V. Tunitsky, “Existence of an Optimal Stationary Solution in the KPP Model under Nonlocal Competition”, Proc. Steklov Inst. Math., 327:S1 (2024), S66  crossref
    3. A. A. Davydov, A. F. Nassar, “On a stationary state in the dynamics of a population with hierarchical competition”, Russian Math. Surveys, 69:6 (2014), 1126–1128  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    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:758
    Full-text PDF :251
    References:95
    First page:11
     
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