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

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dc.creatorGhoshal, G.
dc.creatorSander, L. M.
dc.creatorSokolov, I. M.
dc.date2003-04-12
dc.date.accessioned2026-07-25T15:08:17Z
dc.descriptionWe 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.
dc.description19 pages, 7 figures, submitted to Mathematical Biosciences
dc.identifierhttps://arxiv.org/abs/cond-mat/0304301
dc.identifierhttp://arxiv.org/abs/cond-mat/0304301
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/31325
dc.subjectStatistical Mechanics
dc.subjectBiological Physics
dc.subjectPopulations and Evolution
dc.titleSIS epidemics with household structure: the self-consistent field method
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