Dispersal delays, predator–prey stability, and the paradox of enrichment
Date
2007-03-26Metadata
Show full item recordCitable URI
https://hdl.handle.net/1912/1580As published
https://doi.org/10.1016/j.tpb.2007.02.002Keyword
Delay-differential equations; Distributed delay; MacArthur-Rosenzweig model; Metapopulation dynamics; Paradox of enrichment; StabilityAbstract
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.
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.
Collections
Suggested Citation
Preprint: Klepac, Petra, Neubert, Michael G., van den Driessche, P., "Dispersal delays, predator–prey stability, and the paradox of enrichment", 2007-03-26, https://doi.org/10.1016/j.tpb.2007.02.002, https://hdl.handle.net/1912/1580Related items
Showing items related by title, author, creator and subject.
-
Delayed effects of developmental exposure to low levels of the aryl hydrocarbon receptor agonist 3,3′,4,4′,5-pentachlorobiphenyl (PCB126) on adult zebrafish behavior
(2015-11)Polychlorinated biphenyls (PCBs) are ubiquitous environmental contaminants. The most toxic PCBs are the non-ortho-substituted ("dioxin-like") congeners that act through the aryl hydrocarbon receptor (AHR) pathway. In humans, ... -
Multipath time-delay estimation via the EM algorithm
(Woods Hole Oceanographic Institution, 1987-01)We consider the application of the EM algorithm to the multipath time delay estimation problem. The algorithm is developed for the case of deterministic (known) signals, as well as for the case of wide-sense stationary ... -
Delayed baroclinic response of the Antarctic circumpolar current to surface wind stress
(2008-01-11)Antarctic Circumpolar Current (ACC) responds to the surface windstress via two processes, i.e., instant barotropic process and delayed baroclinic process. This study focuses on the baroclinic instability mechanism in ACC. ...
