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Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, Issue 6(80), Pages 14–26 (Mi vsgu190)  

Mathematics

Problems for McKendrick–von Foerster's equation and their application to the population dynamics of Daphnids: research of toxicity

V. B. Dmitrieva, Yu. L. Gerasimovb

a training center ``Knowledge Plus'', Samara, 443081, Russian Federation
b Dept. of Zoology, Samara State University, Samara, 443011, Russian Federation

Abstract: In the given work non-local problem with non-linear integral condition for the McKendrick–von Foerster's equation is studied. Estimation of the generalized solution is proved. Also toxicity of grape stones extraction and pomegranate stones extraction is considered by N.S. Stroganov's standart technique and the decision of the McKendrick–von Foerster's equation describing of Daphnids population is showed. The results of the experiments were used for constructing the mortality function, which specify the model for a certain population, and their software simulations were presented. Coefficients of nonlinear multiple regression is computed.

Keywords: nonlocal problem, nonlinear conditions, a priori estimate, generalised solution, grape stones extraction, pomegranate stones extraction, density of Daphnids population.

Full text: PDF file (596 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
References: PDF file   HTML file
UDC: 517.956.3+615.453+577.16
Received: 28.10.2010
Revised: 28.10.2010

Citation: V. B. Dmitriev, Yu. L. Gerasimov, “Problems for McKendrick–von Foerster's equation and their application to the population dynamics of Daphnids: research of toxicity”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 6(80), 14–26

Citation in format AMSBIB
\Bibitem{DmiGer10}
\by V.~B.~Dmitriev, Yu.~L.~Gerasimov
\paper Problems for McKendrick--von~Foerster's equation and their application to the population dynamics of Daphnids: research of toxicity
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2010
\issue 6(80)
\pages 14--26
\mathnet{http://mi.mathnet.ru/vsgu190}


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  • Вестник Самарского государственного университета. Естественнонаучная серия
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