Abstract :
In this paper we establish some general results on the permanence of the
n-species Kolmogorov-type nonautonomous functional differential system ˙xis
xi t.fi t, xt., is1, 2, . . . , n. These results are applied to the n-species Lotka]
Volterra-type systems with distributed delays, that is, when fi t, xt. are linear
functions of xt . 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 Rn. Q 1996 Academic Press, Inc.
