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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 1997 Volume 9, Number 9, Pages 27–42 (Mi mm1455)

This article is cited in 1 paper

Mathematical models and computer experiment

Simulation of the epidemic process in the population structured over the risk factors

O. A. Demidova, V. N. Razzhevaikin

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Abstract: A model of the epidemic spread in the structured population is constructed. The structure of the population is defined by the sets of discrete and continuous parameters that are important for the development of the infectious process. The procedure of calculation of bifurcation parameter of the model is presented, the comparison of which with the unit defines the stability of nonendemic equilibrium. In the case of its instability the endemic equilibrium arises, which corresponds to the epidemic development. The estimates of this parameter for several scenaria of profilactic measures on the base of the model of AIDS propagation in Russia are indicated.

Received: 23.04.1996



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