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 | |
| 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