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Host-parasite interactions between the local and the mean-field: how and when does spatial population structure matter?
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Webb, Steven D., Keeling, Matthew James and Boots, Mike (2007) Host-parasite interactions between the local and the mean-field: how and when does spatial population structure matter? Journal of Theoretical Biology, Vol.249 (No.1). pp. 140-152. doi:10.1016/j.jtbi.2007.06.013 ISSN 0022-5193.
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Official URL: http://dx.doi.org/10.1016/j.jtbi.2007.06.013
Abstract
The assumption that populations are completely mixed is reasonable for many populations, but there is likely to be some degree of local interaction whether spatially or socially in many systems. An important question is therefore how strong these local interactions need to be before there are significant effects on the dynamics of the system. Here, our approach is to use a multi-scale pair-approximation model to move between completely local and completely mixed host-parasite interactions. We show that systems dominated by near neighbour effects have less persistence of disease, and a greater possibility of parasite driven extinction and limit cycles. Furthermore this reduction in persistence occurs over a wide range of infection scales and is still significant in predominantly mixed host populations. Deterministic extinctions are only likely in highly spatial SI systems while oscillations also persist over a wide range of infection ranges, but only in hosts that reproduce mostly locally. In general the mean-field may well be a good approximation for many systems, even when there are a significant proportion of near neighbour events, but this depends crucially on the ecological context.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QH Natural history > QH301 Biology | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- ) > Biological Sciences ( -2010) Faculty of Science, Engineering and Medicine > Science > Mathematics |
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Journal or Publication Title: | Journal of Theoretical Biology | ||||
Publisher: | Academic Press | ||||
ISSN: | 0022-5193 | ||||
Official Date: | 7 November 2007 | ||||
Dates: |
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Volume: | Vol.249 | ||||
Number: | No.1 | ||||
Number of Pages: | 13 | ||||
Page Range: | pp. 140-152 | ||||
DOI: | 10.1016/j.jtbi.2007.06.013 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Data sourced from Thomson Reuters' Web of Knowledge
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