Competitive exclusion and coexistence in a Leslie-Gower competition model with Allee effects

Sophia R.J. Jang

doi:10.1080/00036811.2012.692365

Competitive exclusion and coexistence in a Leslie-Gower competition model with Allee effects

Sophia R.J. Jang

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The classical competitive exclusion principle states that two populations competing for a limited resource cannot coexist, one of the populations will drive the other to extinction. We prove in this work that when one population is subject to Allee effects, then for certain parameter regimes both competing populations may either coexist or one population may drive the other to extinction depending on initial conditions.

Original language	English
Pages (from-to)	1527-1540
Number of pages	14
Journal	Applicable Analysis
Volume	92
Issue number	7
DOIs	https://doi.org/10.1080/00036811.2012.692365
State	Published - Jul 2013

Keywords

Allee effects
global stable manifold
monotone map

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10.1080/00036811.2012.692365

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abstract = "The classical competitive exclusion principle states that two populations competing for a limited resource cannot coexist, one of the populations will drive the other to extinction. We prove in this work that when one population is subject to Allee effects, then for certain parameter regimes both competing populations may either coexist or one population may drive the other to extinction depending on initial conditions.",

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AB - The classical competitive exclusion principle states that two populations competing for a limited resource cannot coexist, one of the populations will drive the other to extinction. We prove in this work that when one population is subject to Allee effects, then for certain parameter regimes both competing populations may either coexist or one population may drive the other to extinction depending on initial conditions.

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KW - monotone map

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Competitive exclusion and coexistence in a Leslie-Gower competition model with Allee effects

Abstract

Keywords

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