An application of queuing theory to sis and seis epidemic models

Carlos M. Herńandez-Súarez; Carlos Castillo-Chavez; Osval Montesinos Ĺopez; Karla Herńandez-Cuevas

doi:10.3934/mbe.2010.7.809

An application of queuing theory to sis and seis epidemic models

Carlos M. Herńandez-Súarez, Carlos Castillo-Chavez, Osval Montesinos Ĺopez, Karla Herńandez-Cuevas

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

11 Scopus citations

Abstract

In this work we consider every individual of a population to be a server whose state can be either busy (infected) or idle (susceptible). This server approach allows to consider a general distribution for the duration of the infectious state, instead of being restricted to exponential distributions. In order to achieve this we first derive new approximations to quasistation-ary distribution (QSD) of SIS (Susceptible-Infected-Susceptible) and SEIS (Susceptible-Latent-Infected-Susceptible) stochastic epidemic models. We give an expression that relates the basic reproductive number, R0 and the server utilization, p.

Original language	English (US)
Pages (from-to)	809-823
Number of pages	15
Journal	Mathematical Biosciences and Engineering
Volume	7
Issue number	4
DOIs	https://doi.org/10.3934/mbe.2010.7.809
State	Published - Oct 2010

Keywords

Queuing theory
R0; basic reproductive number
SIS; SEIS
Stochastic epidemic models

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences(all)
Computational Mathematics
Applied Mathematics

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AU - Castillo-Chavez, Carlos

AU - Ĺopez, Osval Montesinos

AU - Herńandez-Cuevas, Karla

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KW - R0; basic reproductive number

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An application of queuing theory to sis and seis epidemic models

Abstract

Keywords

ASJC Scopus subject areas

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