Attractivity of the Steady State in a Single Species Differential Delay Model

The attractivity of the equilibrium point of a single species differential delay equation ■(t)=-μx(t)+f(x(t-τ))is studied.Some sufficient conditions are given,under which the solution x(t)with 0x(0)x~* is attracted by the steady state x~*.Two examples are discussed by applying the main results,and new results on them are obtained.