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.