Average conditions for Kolmogorov systems
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摘要
In this paper we consider nonautonomous competitive Kolmogorov systems, which is a generalization of classical Lotka–Volterra competition model. Applying Ahmad and Lazer’s definitions of lower and upper averages of a function, we give the average conditions for the persistence, permanence and global attractivity of the system.
论文关键词:Kolmogorov system,Lotka–Volterra system,Upper average,Lower average,Perron–Frobenius theorem,Persistence,Permanence,Global attractivity
论文评审过程:Available online 22 May 2009.
论文官网地址:https://doi.org/10.1016/j.amc.2009.05.031