The Annals of Applied Probability
- Ann. Appl. Probab.
- Volume 6, Number 3 (1996), 883-895.
Strong approximations for mobile population epidemic models
We consider a stochastic model for the spread of an epidemic in a population split into m groups in which both infective and susceptible individuals are able to move between groups. Using a coupling argument similar to those applied to various other epidemic models by previous authors, we show that as the initial susceptible population becomes large, the process of infectives in this epidemic model converges to a multitype birth-and-death process with time-dependent birth rates. The behavior of this limiting process is then considered, in particular, the conditions under which extinction is almost certain.
Ann. Appl. Probab., Volume 6, Number 3 (1996), 883-895.
First available in Project Euclid: 18 October 2002
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 92D30: Epidemiology
Secondary: 60F15: Strong theorems 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Clancy, Damian. Strong approximations for mobile population epidemic models. Ann. Appl. Probab. 6 (1996), no. 3, 883--895. doi:10.1214/aoap/1034968231. https://projecteuclid.org/euclid.aoap/1034968231