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 journalArticle

10 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 languageEnglish (US)
Pages (from-to)809-823
Number of pages15
JournalMathematical Biosciences and Engineering
Volume7
Issue number4
DOIs
StatePublished - Oct 1 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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