Permanence in Kolmogorov-Type Systems of Nonautonomous Functional Differential Equations

Abstract In this paper we establish some general results on the permanence of the n -species Kolmogorov-type nonautonomous functional differential system[formula], i =1, 2,…,  n . These results are applied to the n -species Lotka–Volterra-type systems with distributed delays, that is, when f i ( t ,  x t ) are linear functions of x t . Our method consists of constructing n Liapunov-like functions, which can be regarded as boundary functions of some compact region inside the positive cone in R n .

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