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

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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.

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Authors and Affiliations

  1. Omsk Affiliated Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Omsk, Russia

    N. V. Pertsev & G. E. Tsaregorodtseva

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  1. N. V. Pertsev
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  2. G. E. Tsaregorodtseva
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Original Russian Text © N.V. Pertsev, G.E. Tsaregorodtseva, 2011, published in Avtomatika i Telemekhanika, 2011, No. 1, pp. 141–153.

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Pertsev, N.V., Tsaregorodtseva, G.E. Modeling population dynamics under the influence of harmful substances on the individual reproduction process. Autom Remote Control 72, 129–140 (2011). https://doi.org/10.1134/S0005117911010115

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  • DOI: https://doi.org/10.1134/S0005117911010115

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