Publikationsdatum:
2022-05-25
Beschreibung:
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.
Beschreibung:
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.
Beschreibung:
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.
Schlagwort(e):
Delay-differential equations
;
Distributed delay
;
MacArthur-Rosenzweig model
;
Metapopulation dynamics
;
Paradox of enrichment
;
Stability
Repository-Name:
Woods Hole Open Access Server
Materialart:
Preprint
Format:
application/pdf
