Extinction in nonautonomous Kolmogorov systems

• Autorzy: Joanna Pętela
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34D23: Global stability
• 34C29: Averaging method
• 34C12: Monotone systems
• 34D05: Asymptotic properties
• 92D40: Ecology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2010
• Tom: 37
• Numer: 2
• Strony: 185-199

Daty

wydano

2010

Twórcy

autor

Joanna Pętela

• Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Identyfikatory

DOI

10.4064/am37-2-4