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http://dx.doi.org/10.7465/jkdi.2015.26.2.301

Development of epidemic model using the stochastic method  

Ryu, Soorack (Department of Statistics, Daegu University)
Choi, Boseung (Department of Statistics and Computer Science, Daegu University)
Publication Information
Journal of the Korean Data and Information Science Society / v.26, no.2, 2015 , pp. 301-312 More about this Journal
Abstract
The purpose of this paper is to establish the epidemic model to explain the process of disease spread. The process of disease spread can be classified into two types: deterministic process and stochastic process. Most studies supposed that the process follows the deterministic process and established the model using the ordinary differential equation. In this article, we try to build the disease spread prediction model based on the SIR (Suspectible - Infectious - Recovered) model. we first estimated the model parameters using least squared method and applied to a deterministic model using ordinary differential equation. we also applied to a stochastic model based on Gillespie algorithm. The methods introduced in this paper are applied to the data on the number of cases of malaria every week from January 2001 to March 2003, released by Korea Centers for Disease Control and Prevention. As a result, we conclude that our model explains well the process of disease spread.
Keywords
Epidemic model; Gillespie algorithm; ODE model; SIR model; stochastic kinetic network model;
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Times Cited By KSCI : 4  (Citation Analysis)
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