The effects of a pool of dispersers on host-parasitoid systems

Journal of Theoretical Biology
W W WeisserM P Hassell

Abstract

When individuals migrate in a multi-patch environment, a considerable proportion of their lifetime might be spent in transit between patches. We investigate the effects such a pool of dispersers can have on local stability and dynamics for a variety of multi-patch host-parasitoid models. When an arbitrary number of patches with internal Lotka-Volterra dynamics is coupled via a global pool of dispersers, the equilibrium is globally stable. The global pool is stabilising if dispersal is by hosts only, by parasitoids only, or by both hosts and parasitoids. If dispersal is local such that individuals first enter a pool close to the patch where they originate and then disperse to adjacent pools, the equilibrium is locally stable. We also analyse the situation where the functional response of parasitoids within a patch is Holling type II which is known to destabilise host-parasitoid systems. Coupling this single patch to a pool of dispersers can produce a locally stable interaction, provided the handling time of hosts is not too long. However, the pool provides a biologically realistic example of an interaction that is locally stable but not permanent. The longer the handling time, the smaller the region of population densities withi...Continue Reading

Citations

Nov 15, 2011·Theoretical Population Biology·Andrew MorozovMalay Banerjee
Oct 2, 2007·Bio Systems·Daniela BesozziGiancarlo Mauri
Apr 17, 2007·Theoretical Population Biology·Petra KlepacP van den Driessche
Jun 21, 2015·Journal of Mathematical Biology·G J CulosP van den Driessche
Apr 17, 2001·Theoretical Population Biology·V A Jansen
Oct 25, 2016·Journal of Theoretical Biology·Anupam PriyadarshiHidekatsu Yamazaki
Apr 20, 2004·Journal of Theoretical Biology·Thomas Flatt, I István Scheuring
Jun 22, 2007·Journal of Theoretical Biology·Christelle LopesRoger Arditi
Apr 17, 2007·Journal of Mathematical Biology·Ian G PearceStephen F Hubbard
Nov 6, 2018·Journal of Theoretical Biology·Elizabeth F FussellRobert A Van Gorder

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