A PDE model of clonal plant competition with nonlinear diffusion

A. El Hamidi, M. Garbey and N. Ali

Ecological Modelling, 2012, vol. 234, issue C, 83-92

Abstract: We present a spatial competition model for clonal plant growth that combines two different mechanisms of competition. The first one is described by the standard underlying Kolmogorov Model for two interacting populations. A second competition mechanism, more specific to clonal plant growth, expresses the motility of each species and their capacity to resist to competitor's space intrusion. This model leads to a degenerated nonlinear reaction–diffusion system in which the diffusion coefficient of each species vanishes wherever the other species is beyond a certain biomass value.

Keywords: Clonal plant; Reaction–diffusion; Partial differential equation; Spatial–temporal pattern formation; Cross diffusion; Spatial competition (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecomod:v:234:y:2012:i:c:p:83-92

DOI: 10.1016/j.ecolmodel.2012.03.012

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