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Cited by 758

The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.

Spatial Contact Models for Ecological and Epidemic Spread

Mollison, Denis·1977·Journal of the Royal Statistical Society Series B: Statistical Methodology
DOI 10.1111/j.2517-6161.1977.tb01627.x
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Abstract

Summary: A wide variety of phenomena of geographical spread can be described in terms of a mechanism of “growth” (e.g. birth, infection) and a “contact distribution” which describes how the locations of the individual(s) involved in a migratory move, or infection at a distance, are spatially related. I shall survey work on such models, beginning with an examination of the relations between stochastic and deterministic models; it emerges that both linear and nonlinear deterministic models have close connections with the less interesting “linear” (exponential growth) stochastic models. More realistic models must be nonlinear as well as stochastic; some results are now available for such models. As in the linear case, these deal mainly with asymptotic behaviour. Simulations reveal that nonlinear stochastic processes have a richer spectrum of non-asymptotic behaviour than linear models, though in some circumstances the simpler models may provide an adequate approximation. Thus theoretical study of the short-term behaviour of such processes may be difficult, but should prove rewarding. The other main outstanding problems are those of inference for such models, especially the estimation of contact distributions.

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Research works printed but not linked: 58

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Metadata

Authors
Mollison, D.
Venue
Journal of the Royal Statistical Society Series B: Statistical Methodology
Publisher
Oxford University Press (OUP)
Published
1977-07-01
Volume
39
Issue
3
Pages
283-313
ISSN
  • 1369-7412 (ISSN-L)
  • 1467-9868
DOI
10.1111/j.2517-6161.1977.tb01627.x
OpenAlex
W76152643
Cited by
758
References
32
FWCI
20.20
Type
journal article
Language
en
Open access
closed
Licence
academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model (vor)

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Mollison, D. (1977). Spatial Contact Models for Ecological and Epidemic Spread. Journal of the Royal Statistical Society Series B: Statistical Methodology. https://doi.org/10.1111/j.2517-6161.1977.tb01627.x

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