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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 6(97), Pages 66–74
(Mi vsgu32)
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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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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
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
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https://www.mathnet.ru/eng/vsgu32 https://www.mathnet.ru/eng/vsgu/y2012/i6/p66
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Abstract page: | 146 | Full-text PDF : | 137 | References: | 41 | First page: | 1 |
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