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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 6(97), Pages 66–74 (Mi vsgu32)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Parameterization of slow invariant manifolds in the model of the spread of malaria

E. A. Tropkina

The Dept. of Differential Equations and Control Theory, Samara State University, Samara, 443011, Russian Federation
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Abstract: In the paper the Ross Macdonald model of the distribution of malaria is considered. The order reduction of this model on the basis of parametric slow invariant manifolds is realized. As a result a simplified model which describes with a high accuracy the behavior of the solution of the original system is obtained.
Keywords: invariant manifolds, singular perturbation, asymptotic expansion.
Received: 15.07.2012
Accepted: 15.07.2012
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. A. Tropkina, “Parameterization of slow invariant manifolds in the model of the spread of malaria”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 6(97), 66–74
Citation in format AMSBIB
\Bibitem{Tro12}
\by E.~A.~Tropkina
\paper Parameterization of slow invariant manifolds in the model of the spread of malaria
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2012
\issue 6(97)
\pages 66--74
\mathnet{http://mi.mathnet.ru/vsgu32}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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    References:31
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