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dc.contributor.authorKlepac, Petra  Concept link
dc.contributor.authorNeubert, Michael G.  Concept link
dc.contributor.authorvan den Driessche, P.  Concept link
dc.date.accessioned2007-04-25T20:41:21Z
dc.date.available2007-04-25T20:41:21Z
dc.date.issued2007-03-26
dc.identifier.urihttps://hdl.handle.net/1912/1580
dc.descriptionAuthor 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.abstractIt 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.sponsorshipMGN 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.mimetypeapplication/pdf
dc.language.isoen_USen
dc.relation.urihttps://doi.org/10.1016/j.tpb.2007.02.002
dc.subjectDelay-differential equationsen
dc.subjectDistributed delayen
dc.subjectMacArthur-Rosenzweig modelen
dc.subjectMetapopulation dynamicsen
dc.subjectParadox of enrichmenten
dc.subjectStabilityen
dc.titleDispersal delays, predator–prey stability, and the paradox of enrichmenten
dc.typePreprinten


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