Geodesic
Parameterization of slow invariant manifolds in the model of the spread of malaria
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2012), pp. 66-74

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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, asymptotic expansion.
Mots-clés : singular perturbation 
@article{VSGU_2012_6_a8,
     author = {E. A. Tropkina},
     title = {Parameterization of slow invariant manifolds in the model of the spread of malaria},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {66--74},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2012_6_a8/}
}
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E. A. Tropkina. Parameterization of slow invariant manifolds in the model of the spread of malaria. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2012), pp. 66-74. http://geodesic.mathdoc.fr/item/VSGU_2012_6_a8/