Asymmetric dispersal in the multi-patch logistic equation - Sorbonne Université Access content directly
Journal Articles Theoretical Population Biology Year : 2018

Asymmetric dispersal in the multi-patch logistic equation

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.
Fichier principal
Vignette du fichier
Asymmetric_Dispersal.pdf (506.78 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01688305 , version 1 (19-01-2018)

Identifiers

Cite

Roger Arditi, Claude Lobry, Tewfik Sari. Asymmetric dispersal in the multi-patch logistic equation. Theoretical Population Biology, 2018, 120, pp.11 - 15. ⟨10.1016/j.tpb.2017.12.006⟩. ⟨hal-01688305⟩
248 View
263 Download

Altmetric

Share

Gmail Facebook X LinkedIn More