Diffusion-limited predator-prey dynamics in euclidean environments: An allometric individual-based model
Authored by P Yodzis, KM Cuddington
Date Published: 2000
DOI: 10.1006/tpbi.2000.1493
Sponsors:
National Science and Engineering Research Council of Canada (NSERC)
Platforms:
No platforms listed
Model Documentation:
Other Narrative
Flow charts
Mathematical description
Model Code URLs:
Model code not found
Abstract
We claim that diffusion-limited rates of reaction can be an explanation
for the altered population dynamics predicted by models incorporating
local interactions and limited individual mobility. We show that the
predictions of a spatially explicit, individual-based model result from
reduced rates of predation and reproduction caused by limited individual
mobility and patchiness. When these reduced rates are used in a
mean-field model, there is better agreement with the predictions of the
simulation model incorporating local interactions. We also explain
previous findings regarding the effects of dimensionality on population
dynamics in light of diffusion-limited reactions and Polya random walks, In particular, we demonstrate that 3D systems are better ``stirred{''}
than 2D systems and consequently have a reduced tendency for
diffusion-limited interaction rates. (C) 2000 Academic Press.
Tags
scale
System
Discrete
Dimensionality