PARAMETERIZATION OF SLOW INVARIANT MANIFOLDS IN THE MODEL OF THE SPREAD OF MALARIA
- Authors: Tropkina E.1
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Affiliations:
- Samara State University
- Issue: Vol 18, No 6 (2012)
- Pages: 66-74
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4769
- DOI: https://doi.org/10.18287/2541-7525-2012-18-6-66-74
- ID: 4769
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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