Extinction in nonautonomous Kolmogorov systems
Volume 37 / 2010
Applicationes Mathematicae 37 (2010), 185-199
MSC: Primary 34D05; Secondary 34C12, 34C29, 34D23, 92D40.
DOI: 10.4064/am37-2-4
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.
