EFFECT OF VARIABILITY IN INFECTION PERIOD ON THE PERSISTENCE AND SPATIAL SPREAD OF INFECTIOUS-DISEASES

Citation
Mj. Keeling et Bt. Grenfell, EFFECT OF VARIABILITY IN INFECTION PERIOD ON THE PERSISTENCE AND SPATIAL SPREAD OF INFECTIOUS-DISEASES, Mathematical biosciences, 147(2), 1998, pp. 207-226
Citations number
32
Categorie Soggetti
Mathematics, Miscellaneous","Mathematics, Miscellaneous","Biology Miscellaneous
Journal title
ISSN journal
00255564
Volume
147
Issue
2
Year of publication
1998
Pages
207 - 226
Database
ISI
SICI code
0025-5564(1998)147:2<207:EOVIIP>2.0.ZU;2-9
Abstract
The effects of the mean infection (incubation plus infectious) period on the dynamics of infectious diseases are well understood. We examine the dynamics and persistence of epidemics when the distribution of th e infection period also is modelled, using the well-documented childho od disease measles as a test case. We pay particular attention to the differences between exponentially distributed and constant periods. Th e use of constant periods increases the persistence of epidemics by re ducing the individual stochasticity. The infection period distribution is also shown to have a significant effect on the spatial spread of d isease. (C) 1998 Elsevier Science Inc.