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Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 1, Pages 109–120 (Mi sjim600)  
This article is cited in 5 scientific papers (total in 5 papers)

A mathematical model for the dynamics of a population affected by pollutants

N. V. Pertsev, G. E. Tsaregorodtseva

Omsk Branch, Sobolev Institute of Mathematics, SB RAS, Omsk
Full-text PDF (316 kB) Citations (5)
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Abstract: We present a mathematical model for the dynamics of a population whose members are affected by ingested pollutants. We assume that a pollutant decomposition product is harmful for the individua and raises the incidence of their death. We describe the equations of the model and study the properties of their solutions, including the existence and stability of equilibrium states. We obtain conditions for the degeneration of the population and conditions guaranteeing its sustainment at nonzero stationary levels. We include the results of a numerical simulation.
Keywords: population dynamics, nonstationary medium, mathematical model, influence of pollutants.
Received: 10.03.2009
Revised: 09.12.2009
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 1, Pages 94–103
DOI: https://doi.org/10.1134/S199047891101011X
Bibliographic databases:
Document Type: Article
UDC: 517.958+57
Language: Russian
Citation: N. V. Pertsev, G. E. Tsaregorodtseva, “A mathematical model for the dynamics of a population affected by pollutants”, Sib. Zh. Ind. Mat., 13:1 (2010), 109–120; J. Appl. Industr. Math., 5:1 (2011), 94–103
Citation in format AMSBIB
\Bibitem{PerTsa10}
\by N.~V.~Pertsev, G.~E.~Tsaregorodtseva
\paper A mathematical model for the dynamics of a~population affected by pollutants
\jour Sib. Zh. Ind. Mat.
\yr 2010
\vol 13
\issue 1
\pages 109--120
\mathnet{http://mi.mathnet.ru/sjim600}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2839589}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 1
\pages 94--103
\crossref{https://doi.org/10.1134/S199047891101011X}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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