Allee effect increases the dynamical stability of populations

Research output: Contribution to journalArticle

71 Citations (Scopus)

Abstract

The discrepancy between the frequent complex behaviour of simple population dynamical models and the relative dynamical simplicity of most experimental data encourages theoretical ecologists to revise the basic assumptions of the models. Among many other results, it has been shown recently that sexual reproduction increases dynamical stability, merely because population genetical process is introduced in the models. Here, we investigate another general consequence of sexual reproduction, the cost of rarity or the Allee effect, from a dynamical point of view. We show that the cost of rarity increases the stability of (the stable) fixed point in a broad class of one-dimensional difference equation systems. The strong stabilization due to the Allee effect is demonstrated by the numerical simulation of a host-microparasite model as well.

Original languageEnglish
Pages (from-to)407-414
Number of pages8
JournalJournal of Theoretical Biology
Volume199
Issue number4
DOIs
Publication statusPublished - Aug 21 1999

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Allee Effect
Reproduction
Costs and Cost Analysis
sexual reproduction
Population
Costs
Dynamical Model
Population Model
Difference equation
Discrepancy
Simplicity
Stabilization
Difference equations
ecologists
Fixed point
Experimental Data
Model
Numerical Simulation
Computer simulation

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

Allee effect increases the dynamical stability of populations. / Scheuring, I.

In: Journal of Theoretical Biology, Vol. 199, No. 4, 21.08.1999, p. 407-414.

Research output: Contribution to journalArticle

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