Journal article

Asymmetric dispersal in the multi-patch logistic equation

  • Arditi, Roger University of Fribourg, Department of Biology, Switzerland - Sorbonne Université, Institute of Ecology and Environmental Sciences (iEES-Paris), France
  • Lobry, Claude Université Nice-Sophia-Antipolis, Centre de recherches en histoire des idées (CRHI), Nice, France
  • Sari, Tewfik ITAP, Irstea, Montpellier SupAgro, Univ Montpellier, Montpellier, France - Université de Haute Alsace, LMIA, Mulhouse, France
Published in:
  • Theoretical Population Biology. - 2018, vol. 120, p. 11–15
English 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.
Faculté des sciences et de médecine
Département de Biologie
  • English
Biological sciences
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