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  Host-parasite coevolution in populations of constant and variable size

Song, Y., Gokhale, C. S., Papkou, A., Schulenburg, H., & Traulsen, A. (2015). Host-parasite coevolution in populations of constant and variable size. BMC Evolutionary Biology, 15: 212. doi:10.1186/s12862-015-0462-6.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-F87F-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0004-CC56-6
Genre: Journal Article

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art%3A10.1186%2Fs12862-015-0462-6.pdf (Publisher version), 2MB
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http://www.biomedcentral.com/1471-2148/15/212 (Publisher version)
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 Creators:
Song, Yixian1, Author              
Gokhale, Chaitanya S.1, Author              
Papkou, Andrei, Author
Schulenburg, Hinrich2, Author              
Traulsen, Arne1, Author              
Affiliations:
1Department Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society, ou_1445641              
2External Organizations, ou_persistent22              

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Free keywords: Matching-allele; Gene-for-gene; Lotka-Volterra equation; Replicator dynamics. Red Queen hypothesis; Stability analysis
 Abstract: The matching-allele and gene-for-gene models are widely used in math- ematical approaches that study the dynamics of host-parasite interactions. Agrawal and Lively (Evolutionary Ecology Research 4:79-90, 2002) captured these two models in a single framework and numerically explored the associated time discrete dynamics of allele frequencies. Here, we present a detailed analytical investigation of this unifying framework in continuous time and provide a generalization. We extend the model to take into account changing population sizes, which result from the antagonistic nature of the interaction and follow the Lotka-Volterra equations. Under this extension, the population dynamics become most complex as the model moves away from pure matching-allele and becomes more gene-for-gene-like. While the population densities oscillate with a single oscillation frequency in the pure matching-allele model, a second oscillation frequency arises under gene-for-gene-like conditions. These observations hold for general interaction parameters and allow to infer generic patterns of the dynamics. Our results suggest that experimentally inferred dynamical patterns of host-parasite coevolution should typically be much more complex than the popular illustrations of Red Queen dynamics. A single parasite that infects more than one host can substantially alter the cyclic dynamics.

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Language(s): eng - English
 Dates: 2014-12-192015-08-212015-09-29
 Publication Status: Published online
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 Rev. Method: -
 Identifiers: DOI: 10.1186/s12862-015-0462-6
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Title: BMC Evolutionary Biology
Source Genre: Journal
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Publ. Info: BioMed Central
Pages: - Volume / Issue: 15 Sequence Number: 212 Start / End Page: - Identifier: ISSN: 1471-2148
CoNE: /journals/resource/111000136905006