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Avtomatika i Telemekhanika, 2011, Issue 1, Pages 141–153 (Mi at1274)  
This article is cited in 4 scientific papers (total in 4 papers)

Control in Biological Systems and Medicine

Modeling population dynamics under the influence of harmful substances on the individual reproduction process

N. V. Pertsev, G. E. Tsaregorodtseva

Omsk Affiliated Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Omsk, Russia
Full-text PDF (285 kB) Citations (4)
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Abstract: We present a mathematical model of a population developing while consuming polluting substances that negatively affect individual reproduction. We describe equations of the model and study the properties of model solutions, including existence and stability of equilibrium points. We give the results of a numerical experiment that shows that it is possible to control the population size by changing the rate with which polluting substances are introduced into the environment.
Presented by the member of Editorial Board: V. N. Novosel'tsev

Received: 09.07.2009
English version:
Automation and Remote Control, 2011, Volume 72, Issue 1, Pages 129–140
DOI: https://doi.org/10.1134/S0005117911010115
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. V. Pertsev, G. E. Tsaregorodtseva, “Modeling population dynamics under the influence of harmful substances on the individual reproduction process”, Avtomat. i Telemekh., 2011, no. 1, 141–153; Autom. Remote Control, 72:1 (2011), 129–140
Citation in format AMSBIB
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\pages 129--140
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  • https://www.mathnet.ru/eng/at/y2011/i1/p141
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Full-text PDF :127
    References:83
    First page:17
     
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