Global stability in the delay-logistic equation with discrete delays

Abstract. Sufficient conditions are obtained for all positive solutions of •(t) = N(t) [b- a • N(t- • )- • N(t- •)] to converge to a positive steady state as t • cx> where b,a•,a•rl,r• (0,•). 1. Introduction. One of the nonlinear delay differential equations discussed by many authors with respect to stability and oscillations is the delay-logistic equa-tion 6(t) = n(t)[.-/•n(t- •)