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SIS epidemics with household structure: the self-consistent field method

G. Ghoshal·L. M. Sander·I. M. Sokolov
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Abstract

We consider a stochastic SIS infection model for a population partitioned into $m$ households assuming random mixing. We solve the model in the limit $m \to \infty$ by using the self-consistent field method of statistical physics. We derive a number of explicit results, and give numerical illustrations. We then do numerical simulations of the model for finite $m$ and without random mixing. We find in many of these cases that the self-consistent field method is a very good approximation.

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BibTeXRIS

G. Ghoshal, L. M. Sander, I. M. Sokolov. 2003-04-12. SIS epidemics with household structure: the self-consistent field method. https://arxiv.org/abs/cond-mat/0304301

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