Journal of Applied Probability

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

Eric Foxall

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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

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

First available in Project Euclid: 13 October 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

SEIS model contact process interacting particle system


Foxall, Eric. >The SEIS model, or, the contact process with a latent stage. J. Appl. Probab. 53 (2016), no. 3, 783--801.

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