Prey switching with a linear preference trade-off
release_o4mgo5mopvdedhtmkhsgrajnzq
by
S. H. Piltz,
M. A. Porter,
P. K. Maini
2013
Abstract
In ecology, prey switching refers to a predator's adaptive change of habitat
or diet in response to prey abundance. In this paper, we study piecewise-smooth
models of predator-prey interactions with a linear trade-off in a predator's
prey preference. We consider optimally foraging predators and derive a model
for a 1 predator-2 prey interaction with a tilted switching manifold between
the two sides of discontinuous vector fields. We show that the 1 predator-2
prey system undergoes a novel adding-sliding-like (center to two-part periodic
orbit; "C2PO") bifurcation in which the prey ratio transitions from constant to
time-dependent. Further away from the bifurcation point, the period of the
oscillating prey ratio period doubles, suggesting a possible cascade to chaos.
We compare our model predictions with data and demonstrate that we successfully
capture the periodicity in the ratio between the predator's preferred and
alternative prey types in data on freshwater plankton. Our study suggests that
it is useful to investigate prey ratio as a possible indicator of how
population dynamics can be influenced by ecosystem diversity.
In text/plain
format
Archived Files and Locations
application/pdf
1.1 MB
file_k4fxabvjgzgpfkye243ijrf2zm
|
arxiv.org (repository) web.archive.org (webarchive) |
application/pdf
1.1 MB
file_zzyeqzx3ivbnvn43ut7hulx6mq
|
archive.org (archive) |
1302.6197v1
access all versions, variants, and formats of this works (eg, pre-prints)