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PubMed · 15172803

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 --> infinity 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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Endemic DiseasesFamily CharacteristicsHumansModels, BiologicalNumerical Analysis, Computer-AssistedPopulationProbabilityStochastic ProcessesJournal ArticleResearch Support, Non-U.S. Gov't

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G Ghoshal, L M Sander, I M Sokolov. 2004. SIS epidemics with household structure: the self-consistent field method.. https://doi.org/10.1016/j.mbs.2004.02.006

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