Global stability in n-species competition modelled by ``pure-delay-type'' systems -- II: nonautonomous case
K. Gopalsamy and Xue-zhong He
Research Report 96-15
Date: April 1996
Sufficient conditions are obtained for the global extreme stability of the
positive solutions of a Lotka-Volterra type n-species nonautonomous
competition system modelled by equations of the ``pure-delay-type''.
Estimates of delays are derived for the persistence of stable systems. The
existence and global stability of positive periodic and almost periodic
solutions of the periodic and almost periodic systems are discussed. The
method used is based on the construction of Lyapunov-type functionals for
nonautonomous systems; the results obtained include and improve some of the
existing results on nonatonomous competition systems both with and without
n-species Lotka-Volterra nonautonomous system. competition. delays.
periodic and almost periodic solutions. Lyapunov functionals. existence.
AMS Subject Classification (1991)
Primary: 34D05, 34C25, 34K20, 92A1
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Sydney Mathematics and Statistics