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On a competitive system subject to switching predation

Authors
Journal
Ecological Modelling
0304-3800
Publisher
Elsevier
Publication Date
Volume
24
Identifiers
DOI: 10.1016/0304-3800(84)90052-8
Disciplines
  • Ecology

Abstract

Abstract A detailed investigation of an ecological model is presented, describing two competing populations in a bistable regime, subject to harvesting in such a way that only the most abundant species is depleted at a time. A full description of the stationary solutions is given along with their stability character; of particular interest are the periodic solutions. Moreover, we show that, under appropriate conditions, stable periodic oscillations may arise as well. This indicates that, given two populations in a competitive exclusion regime, a harvesting effort directed towards the most abundant population at a time, may prevent extinction of both species and, under appropriate conditions on its strength, may give rise to a permanently oscillating regime.

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