PARAMETERIZATION OF SLOW INVARIANT MANIFOLDS IN THE MODEL OF THE SPREAD OF MALARIA



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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.

About the authors

E.A. Tropkina

Samara State University

Author for correspondence.
Email: morenov.sv@ssau.ru

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Copyright (c) 2012 Tropkina E.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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