title: An application of queuing theory to SIS and SEIS epidemic models.
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 quasistationary 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.
authors.affiliation: Facultad de Ciencias, Universidad de Colima, Apdo. Postal 25, Colima, Colima, Mexico. carlosmh@mac.com
authors.forename: Carlos M
authors.initials: CM
authors.lastname: Hernandez-Suarez
authors.forename: Carlos
authors.initials: C
authors.lastname: Castillo-Chavez
authors.forename: Osval Montesinos
authors.initials: OM
authors.lastname: Lopez
authors.forename: Karla
authors.initials: K
authors.lastname: Hernandez-Cuevas
mesh_terms: D050936:Basic Reproduction Number / Q000706:statistics & numerical data; D003141:Communicable Diseases / Q000453:epidemiology* / Q000635:transmission; D003198:Computer Simulation / Q000706:statistics & numerical data; D004198:Disease Susceptibility / Q000453:epidemiology; D006801:Humans; D008954:Models, Biological; D013598:Systems Theory