AN APPLICATION OF QUEUING THEORY TO SIS AND SEIS EPIDEMIC MODELS

作者：Hernandez Suarez Carlos M^*; Castillo Chavez Carlos; Montesinos Lopez Osval; Hernandez Cuevas Karla

来源：Mathematical Biosciences and Engineering, 2010, 7(4): 809-823.

DOI：10.3934/mbe.2010.7.809

• SIS
• SEIS
• Queuing theory
• R(0)
• basic reproductive number
• stochastic epidemic models

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 toquasistationary 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, R(0) and the serverutilization, rho.

• 出版日期2010-10