On a periodic delay population model

Abstract

The existence of a positive periodic solution for \[ N ′ ( t ) = N ( t ) [ a ( t ) + b ( t ) N ( t − m ω ) − c ( t ) N 2 ( t − m ω ) ] N’(t) = N(t)\left [ {a(t) + b(t)N(t - m\omega ) - c(t){N^2}(t - m\omega )} \right ] \] is established. Sufficient conditions are given for the periodic solution to be globally attractive.