Average conditions for extinction in nonautonomous Kolmogorov systems

作者：Petela Joanna^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(3-4): 1542-1560.

DOI：10.1016/j.na.2009.08.039

• Kolmogorov system
• Lotka-Volterra system
• Upper average
• Lower average
• Logistic equation
• Global attractivity

In this paper we consider nonautonomous competitive Kolmogorov systems, which constitute a generalization of the classical Lotka-Volterra competition model. Applying Ahmad and Lazer's definitions of lower and upper averages of a function, we give the average conditions which guarantee that r of the N species are permanent while the remaining N - r are driven to extinction.

• 出版日期2010-2-1