Persistence of an infectious disease in a subdivided population.

Abstract:

:The transmission dynamics of a communicable disease in a subdivided population where the spread among groups follows the proportionate mixing model while the within-group transmission can correspond to preferred mixing, proportionate mixing among subgroups, or mixing between social and nonsocial subgroups, is analyzed. It is shown that the threshold condition for the disease to persist is that either (i) the disease can persist within at least one group through intragroup contacts, or--if (i) does not hold--(ii) the intergroup transmission is sufficiently high. The among-group transmission is computed as an average where each subgroup's reproductive number is weighted according to its intragroup activity level squared and the total number of cases that one infectious individual will cause through intragroup contacts. The model thus allows for a study of the relative importance of communitywide disease transmission and of disease transmission within geographically or socially separate groups.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Andreasen V,Christiansen FB

doi

10.1016/0025-5564(89)90061-8

subject

Has Abstract

pub_date

1989-10-01 00:00:00

pages

239-53

issue

2

eissn

0025-5564

issn

1879-3134

pii

0025-5564(89)90061-8

journal_volume

96

pub_type

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