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Algebraic moment closure for population dynamics on discrete structures
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House, Thomas A. (2015) Algebraic moment closure for population dynamics on discrete structures. Bulletin of Mathematical Biology, 77 (4). pp. 646-659. doi:10.1007/s11538-014-9981-3 ISSN 0092-8240.
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Official URL: http://dx.doi.org/10.1007/s11538-014-9981-3
Abstract
Moment closure on general discrete structures often requires one of the following: (i) an absence of short-closed loops (zero clustering); (ii) existence of a spatial scale; (iii) ad hoc assumptions. Algebraic methods are presented to avoid the use of such assumptions for populations based on clumps and are applied to both SIR and macroparasite disease dynamics. One approach involves a series of approximations that can be derived systematically, and another is exact and based on Lie algebraic methods.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | Bulletin of Mathematical Biology | ||||||
Publisher: | Springer New York LLC | ||||||
ISSN: | 0092-8240 | ||||||
Official Date: | April 2015 | ||||||
Dates: |
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Volume: | 77 | ||||||
Number: | 4 | ||||||
Page Range: | pp. 646-659 | ||||||
DOI: | 10.1007/s11538-014-9981-3 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access |
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