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A STOCHASTIC MODEL OF EPIDEMIC

Abstract

First let's construct the determined model of the dynamic of uncontrolled epidemiological process. The quotient β describes frequency of meetings of sick people with healthy and probability of infection. It is subject to action of random factors. Let's enter an item for it which will take into account the influence of a random destabilization. We'll have stochastic model of epidemic. Comparing the determined and stochastic models, we'll find admissible borders for destabilizing quotient σ if the maximum deviation of dynamic variables can not be higher than 5 %.

About the Author

N. I. Ovsyannikova
МГТУ ГА
Russian Federation


References

1. Kuznetsov D.F. Numerical modeling of stochastic differential equations and stochastic integrals St. Petersburg: Science. 1999. 459 p. (in Russian).

2. Dmitrieva O.N. A stochastic model of the dynamics of the forests. Collection of proceedings. Tver. 2006. 187 p. (in Russian).


Review

For citations:


Ovsyannikova N.I. A STOCHASTIC MODEL OF EPIDEMIC. Civil Aviation High Technologies. 2016;(224):107-114.

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ISSN 2079-0619 (Print)
ISSN 2542-0119 (Online)