Almost periodic solutions of Lasota-Wazewska-type delay differential equation

Sufficient conditions are derived for the existence of a globally attractiv e almost periodic solution of a single species model given by the nonautono mous Lasota-Wazewska-type delay differential equations, x'(t) = -delta(t)x(t) + p(t)f(x(t - tau)), in which tau > 0, p(t) greater than or equal to 0, delta(t) are continuous almost periodic functions, and f is a decreasing positive C-1-function. Con ditions of the uniform asymptotical stability for some associated nonautono mous delay differential equations, x'(t) = -delta(t)x(t) + p(t)x(t - tau), are also discussed. (C) 1999 Academic Press.