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Updated: Feb 16, 2026

A Computer-assisted Multi-electrode Patch-clamp System
Published on: October 18, 2013
Asymmetric dispersal in the multi-patch logistic equation
Roger Arditi1, Claude Lobry2, Tewfik Sari3
1University of Fribourg, Department of Biology, Chemin du Musée 10, 1700 Fribourg, Switzerland; Sorbonne Université, Institute of Ecology and Environmental Sciences (iEES-Paris), 75252 Paris cedex 05, France.
Abstract:
The standard model for the dynamics of a fragmented density-dependent population is built from several local logistic models coupled by migrations. First introduced in the 1970s and used in innumerable articles, this standard model applied to a two-patch situation has never been fully analyzed. Here, we complete this analysis and we delineate the conditions under which fragmentation associated with dispersal is either favorable or unfavorable to total population abundance. We pay special attention to the case of asymmetric dispersal, i.e., the situation in which the dispersal rate from patch 1 to patch 2 is not equal to the dispersal rate from patch 2 to patch 1. We show that this asymmetry can have a crucial quantitative influence on the effect of dispersal.
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