Spontaneous emergence of spatial patterns in a predator-prey model
Authored by M V Carneiro, I C Charret
Date Published: 2007
DOI: 10.1103/physreve.76.061902
Sponsors:
Brazilian National Council for Scientific and Technological Development (CNPq)
Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG)
Platforms:
No platforms listed
Model Documentation:
Other Narrative
Model Code URLs:
Model code not found
Abstract
We present studies for an individual based model of three interacting
populations whose individuals are mobile in a two-dimensional lattice.
We focus on the pattern formation in the spatial distributions of the
populations. Also relevant is the relationship between pattern formation
and features of the populations' time series. Our model displays both
traveling wave solutions, clustering and uniform distributions, both
related to the parameter values. We also observed that the regeneration
rate, the parameter associated to the primary level of trophic chain, the plant, regulated the presence of predators, as well as the type of
spatial configuration. This result corroborates the theory that the
enrichment of prey can stabilize the predator-prey dynamic in more
realistic models.
Tags
diffusion
Chaos
systems
stability
Cellular-automata
Population-dynamics
Paradox
Enrichment