This article is cited 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

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.

UDC: 517.9

Received: 15.07.2012
Accepted: 15.07.2012