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
State	Published - 2020

Keywords

Contagion
Epidemic
Sis stochastic models

Access to Document

10.3934/jimo.2019049

Cite this

@article{800534187fc9475f8d34b4793323edf3,

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 = "Publisher Copyright: {\textcopyright} 2020 American Institute of Mathematical Sciences.",

year = "2020",

doi = "10.3934/jimo.2019049",

language = "English",

volume = "16",

pages = "2175--2193",

journal = "Journal of Industrial and Management Optimization",

issn = "1547-5816",

publisher = "American Institute of Mathematical Sciences",

number = "5",

}

TY - JOUR

T1 - A stochastic model of contagion with different individual types

AU - Kim, Geofferey Jiyun

AU - Kim, Jerim

AU - Kim, Bara

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

UR - http://www.scopus.com/inward/record.url?scp=85089777283&partnerID=8YFLogxK

U2 - 10.3934/jimo.2019049

DO - 10.3934/jimo.2019049

M3 - Article

AN - SCOPUS:85089777283

SN - 1547-5816

VL - 16

SP - 2175

EP - 2193

JO - Journal of Industrial and Management Optimization

JF - Journal of Industrial and Management Optimization

IS - 5

ER -

A stochastic model of contagion with different individual types

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this