Dispersal delays, predator–prey stability, and the paradox of enrichment

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dc.contributor.author Klepac, Petra
dc.contributor.author Neubert, Michael G.
dc.contributor.author van den Driessche, P.
dc.date.accessioned 2007-04-25T20:41:21Z
dc.date.available 2007-04-25T20:41:21Z
dc.date.issued 2007-03-26
dc.description Author Posting. © Elsevier B.V., 2007. This is the author's version of the work. It is posted here by permission of Elsevier B.V. for personal use, not for redistribution. The definitive version was published in Theoretical Population Biology 71 (2007): 436-444, doi:10.1016/j.tpb.2007.02.002. en
dc.description.abstract It takes time for individuals to move from place to place. This travel time can be incorporated into metapopulation models via a delay in the interpatch migration term. Such a term has been shown to stabilize the positive equilibrium of the classical Lotka-Volterra predator{prey system with one species (either the predator or the prey) dispersing. We study a more realistic, Rosenzweig-MacArthur, model that includes a carrying capacity for the prey, and saturating functional response for the predator. We show that dispersal delays can stabilize the predator{prey equilibrium point despite the presence of a Type II functional response that is known to be destabilizing. We also show that dispersal delays reduce the amplitude of oscillations when the equilibrium is unstable, and therefore may help resolve the paradox of enrichment. en
dc.description.sponsorship MGN and PK were supported by grants from the National Science Foundation (OCE-0083976, DEB-0235692, DEB-9973212) and Environmental Protection Agency (R-82908901-0). The research of PvdD is partially supported by NSERC and MITACS. en
dc.format.mimetype application/pdf
dc.identifier.uri https://hdl.handle.net/1912/1580
dc.language.iso en_US en
dc.relation.uri https://doi.org/10.1016/j.tpb.2007.02.002
dc.subject Delay-differential equations en
dc.subject Distributed delay en
dc.subject MacArthur-Rosenzweig model en
dc.subject Metapopulation dynamics en
dc.subject Paradox of enrichment en
dc.subject Stability en
dc.title Dispersal delays, predator–prey stability, and the paradox of enrichment en
dc.type Preprint en
dspace.entity.type Publication
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relation.isAuthorOfPublication 2a9fe60e-01b4-4d02-80ab-5fafcf1633a6
relation.isAuthorOfPublication 978adb44-24a2-46dc-8786-c235d8c5439d
relation.isAuthorOfPublication.latestForDiscovery 01c0c96c-b38b-48ab-96f7-490a53aeea60
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