Global attractivity in a delay differential equation with application in a commodity model

We establish a sufficient condition for the global attractivity of solutions of the following nonlinear delay differential equation: (0.1) x ′ ( t ) = p ( t ) x ( t ) [ f ( x ( t ) ) − g ( x ( t − τ ) ) ] , t ≥ 0 , where τ ∈ ( 0 , ∞ ) , p ∈ C [ [ 0 , ∞ ) , ( 0 , ∞ ) ] and f , g ∈ C [ [ 0 , ∞ ) , [ 0 , ∞ ) ] . An application to a commodity model is also given.