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Middle Volga Mathematical Society Journal

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Use of the unified decomposition of Taylor-Ito for system of the stochastic differential equations describing dynamics of epidemic

N. I. Ovsyannikova1

AnnotationIn work on the basis of the determined model of epidemic the stochastic model where subject it is considered to casual influence factor of growth of disease $\beta$ is under construction. For the numerical decision of the received system of the stochastic differential equations Taylor-Ito unified number is used. Dependence of deviations of trajectories of the indignant system on trajectories of the determined system on size of the indignant parametre $\sigma$ is traced.
Keywordsthe determined and stochastic models of epidemic, system of the stochastic differential equations, Taylor-Ito number, the indignant parametre.

1The teacher of chair of applied mathematics, Northern Arctic Federal University; imaginary-aim@hotmail.com

Citation: N. I. Ovsyannikova, "[Use of the unified decomposition of Taylor-Ito for system of the stochastic differential equations describing dynamics of epidemic]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:4 (2010) 171–179 (In Russian)