Extinction in nonautonomous Kolmogorov systems

Joanna Pętela

Extinction in nonautonomous Kolmogorov systems

Joanna Pętela

Applicationes Mathematicae (2010)

Volume: 37, Issue: 2, page 185-199
ISSN: 1233-7234

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Abstract

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We consider nonautonomous competitive Kolmogorov systems, which are generalizations of the classical Lotka-Volterra competition model. Applying Ahmad and Lazer's definitions of lower and upper averages of a function, we give an average condition which guarantees that all but one of the species are driven to extinction.

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Joanna Pętela. "Extinction in nonautonomous Kolmogorov systems." Applicationes Mathematicae 37.2 (2010): 185-199. <http://eudml.org/doc/279973>.

@article{JoannaPętela2010,
abstract = {We consider nonautonomous competitive Kolmogorov systems, which are generalizations of the classical Lotka-Volterra competition model. Applying Ahmad and Lazer's definitions of lower and upper averages of a function, we give an average condition which guarantees that all but one of the species are driven to extinction.},
author = {Joanna Pętela},
journal = {Applicationes Mathematicae},
language = {eng},
number = {2},
pages = {185-199},
title = {Extinction in nonautonomous Kolmogorov systems},
url = {http://eudml.org/doc/279973},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Joanna Pętela
TI - Extinction in nonautonomous Kolmogorov systems
JO - Applicationes Mathematicae
PY - 2010
VL - 37
IS - 2
SP - 185
EP - 199
AB - We consider nonautonomous competitive Kolmogorov systems, which are generalizations of the classical Lotka-Volterra competition model. Applying Ahmad and Lazer's definitions of lower and upper averages of a function, we give an average condition which guarantees that all but one of the species are driven to extinction.
LA - eng
UR - http://eudml.org/doc/279973
ER -

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