Related Experiment Video
Updated: Jun 6, 2026

A Data-Driven Approach to Quantifying Immune States in Sepsis
Published on: February 7, 2025
An application of queuing theory to SIS and SEIS epidemic models
Carlos M Hernandez-Suarez1, Carlos Castillo-Chavez, Osval Montesinos Lopez
1Facultad de Ciencias, Universidad de Colima, Apdo. Postal 25, Colima, Colima, Mexico. carlosmh@mac.com
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.
Related Concept Videos
Steps in Outbreak Investigation
Modeling with Differential Equations
Causality in Epidemiology
Statistical Methods for Analyzing Epidemiological Data
Pharmacodynamic Models: Link Model and Systems Pharmacodynamic Model
Mechanistic Models: Compartment Models in Individual and Population Analysis