Host-pathogen time series data in wildlife support a transmission function between density and frequency dependence

Smith, Matthew J.; Telfer, Sandra; Kallio, Eva R.; Burthe, Sarah ORCID:; Cook, Alex R.; Lambin, Xavier; Begon, Michael. 2009 Host-pathogen time series data in wildlife support a transmission function between density and frequency dependence. Proceedings of the National Academy of Sciences, 106 (19). 7905-7909.

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A key aim in epidemiology is to understand how pathogens spread within their host populations. Central to this is an elucidation of a pathogen’s transmission dynamics. Mathematical models have generally assumed that either contact rate between hosts is linearly related to host density (density-dependent) or that contact rate is independent of density (frequency-dependent), but attempts to confirm either these or alternative transmission functions have been rare. Here, we fit infection equations to 6 years of data on cowpox virus infection (a zoonotic pathogen) for 4 natural populations to investigate which of these transmission functions is best supported by the data. We utilize a simple reformulation of the traditional transmission equations that greatly aids the estimation of the relationship between density and host contact rate. Our results provide support for an infection rate that is a saturating function of host density. Moreover, we find strong support for seasonality in both the transmission coefficient and the relationship between host contact rate and host density, probably reflecting seasonal variations in social behavior and/or host susceptibility to infection. We find, too, that the identification of an appropriate loss term is a key component in inferring the transmission mechanism. Our study illustrates how time series data of the host– pathogen dynamics, especially of the number of susceptible individuals, can greatly facilitate the fitting of mechanistic disease models.

Item Type: Publication - Article
Digital Object Identifier (DOI):
Programmes: CEH Programmes pre-2009 publications > Biodiversity
UKCEH and CEH Sections/Science Areas: Watt
ISSN: 00278424
Additional Information. Not used in RCUK Gateway to Research.: Full text of this article is available from the Official URL link
NORA Subject Terms: Zoology
Ecology and Environment
Date made live: 01 Apr 2010 10:54 +0 (UTC)

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