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September 2016 >The SEIS model, or, the contact process with a latent stage
Eric Foxall
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J. Appl. Probab. 53(3): 783-801 (September 2016).

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.

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Eric Foxall. ">The SEIS model, or, the contact process with a latent stage." J. Appl. Probab. 53 (3) 783 - 801, September 2016.

Information

Published: September 2016
First available in Project Euclid: 13 October 2016

zbMATH: 1351.60102
MathSciNet: MR3570094

Subjects:
Primary: 60J25, 92B99

Rights: Copyright © 2016 Applied Probability Trust

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Vol.53 • No. 3 • September 2016
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