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Proc Biol Sci. 1999 Apr 22;266(1421):859-67.

The effects of local spatial structure on epidemiological invasions.

Author information

1
Zoology Department, University of Cambridge, UK. matt@zoo.cam.ac.uk

Abstract

Predicting the likely success of invasions is vitally important in ecology and especially epidemiology. Whether an organism can successfully invade and persist in the short-term is highly dependent on the spatial correlations that develop in the early stages of invasion. By modelling the correlations between individuals, we are able to understand the role of spatial heterogeneity in invasion dynamics without the need for large-scale computer simulations. Here, a natural methodology is developed for modelling the behaviour of individuals in a fixed network. This formulation is applied to the spread of a disease through a structured network to determine invasion thresholds and some statistical properties of a single epidemic.

PMID:
10343409
PMCID:
PMC1689913
DOI:
10.1098/rspb.1999.0716
[Indexed for MEDLINE]
Free PMC Article
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