A stochastic model of contagion with different individual types

Geofferey Jiyun Kim; Jerim Kim; Bara Kim

doi:10.3934/jimo.2019049

A stochastic model of contagion with different individual types

Geofferey Jiyun Kim, Jerim Kim, Bara Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We develop a stochastic model of contagion with two individual types by extending an archetypal SIS CTMC model. Our results include the analyses of the contagion duration and the number of individual afflictions. Numerical applications with the minority and majority types are provided to consider various contagions.

Original language	English
Pages (from-to)	2175-2193
Number of pages	19
Journal	Journal of Industrial and Management Optimization
Volume	16
Issue number	5
DOIs	https://doi.org/10.3934/jimo.2019049
Publication status	Published - 2020

Keywords

Contagion
Epidemic
Sis stochastic models

ASJC Scopus subject areas

Business and International Management
Strategy and Management
Control and Optimization
Applied Mathematics

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10.3934/jimo.2019049

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title = "A stochastic model of contagion with different individual types",

abstract = "We develop a stochastic model of contagion with two individual types by extending an archetypal SIS CTMC model. Our results include the analyses of the contagion duration and the number of individual afflictions. Numerical applications with the minority and majority types are provided to consider various contagions.",

keywords = "Contagion, Epidemic, Sis stochastic models",

author = "Kim, {Geofferey Jiyun} and Jerim Kim and Bara Kim",

note = "Funding Information: Jerim Kim's research was supported by the 2017 Research Fund of the University of Seoul. Bara Kim's research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2017R1A2B4012676). Publisher Copyright: {\textcopyright} 2020 American Institute of Mathematical Sciences.",

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AU - Kim, Jerim

AU - Kim, Bara

N1 - Funding Information: Jerim Kim's research was supported by the 2017 Research Fund of the University of Seoul. Bara Kim's research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2017R1A2B4012676). Publisher Copyright: © 2020 American Institute of Mathematical Sciences.

PY - 2020

Y1 - 2020

N2 - We develop a stochastic model of contagion with two individual types by extending an archetypal SIS CTMC model. Our results include the analyses of the contagion duration and the number of individual afflictions. Numerical applications with the minority and majority types are provided to consider various contagions.

AB - We develop a stochastic model of contagion with two individual types by extending an archetypal SIS CTMC model. Our results include the analyses of the contagion duration and the number of individual afflictions. Numerical applications with the minority and majority types are provided to consider various contagions.

KW - Contagion

KW - Epidemic

KW - Sis stochastic models

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U2 - 10.3934/jimo.2019049

DO - 10.3934/jimo.2019049

M3 - Article

AN - SCOPUS:85089777283

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JO - Journal of Industrial and Management Optimization

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IS - 5

ER -

A stochastic model of contagion with different individual types

Abstract

Keywords

ASJC Scopus subject areas

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