Journal of Applied Probability

>The SEIS model, or, the contact process with a latent stage

Eric Foxall

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Abstract

The susceptible→exposed→infectious→susceptible (SEIS) model is well known in mathematical epidemiology as a model of infection in which there is a latent period between the moment of infection and the onset of infectiousness. The compartment model is well studied, but the corresponding particle system has so far received no attention. For the particle system model in one spatial dimension, we give upper and lower bounds on the critical values, prove convergence of critical values in the limit of small and large latent time, and identify a limiting process to which the SEIS model converges in the limit of large latent time.

Article information

Source
J. Appl. Probab. Volume 53, Number 3 (2016), 783-801.

Dates
First available in Project Euclid: 13 October 2016

Permanent link to this document
https://projecteuclid.org/euclid.jap/1476370776

Mathematical Reviews number (MathSciNet)
MR3570094

Zentralblatt MATH identifier
1351.60102

Subjects
Primary: 60J25: Continuous-time Markov processes on general state spaces 92B99: None of the above, but in this section

Keywords
SEIS model contact process interacting particle system

Citation

Foxall, Eric. >The SEIS model, or, the contact process with a latent stage. J. Appl. Probab. 53 (2016), no. 3, 783--801.https://projecteuclid.org/euclid.jap/1476370776


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