Advances in Applied Probability
- Adv. in Appl. Probab.
- Volume 46, Number 2 (2014), 560-584.
Convergence and monotonicity for a model of spontaneous infection and transmission
A version of the contact process (effectively an SIS model) on a finite set of sites is considered in which there is the possibility of spontaneous infection. A companion process is also considered in which spontaneous infection does not occur from the disease-free state. Monotonicity with respect to parameters and initial data is established, and conditions for irreducibility and exponential convergence of the processes are given. For the spontaneous process, a set of approximating equations is derived, and its properties investigated.
Adv. in Appl. Probab., Volume 46, Number 2 (2014), 560-584.
First available in Project Euclid: 29 May 2014
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60J25: Continuous-time Markov processes on general state spaces
Secondary: 92B99: None of the above, but in this section
Foxall, Eric. Convergence and monotonicity for a model of spontaneous infection and transmission. Adv. in Appl. Probab. 46 (2014), no. 2, 560--584. doi:10.1239/aap/1401369707. https://projecteuclid.org/euclid.aap/1401369707