Global attractivity in delayed differential equations with applications to ``food-limited'' population model (Q929585)

The delay differential equation \[ x'(t)=(1+x(t))F(t,x_t) \] is studied. First, a new criterion on the global attractivity of the zero solution is established. The result improves that of \textit{T. Faria} [J. Math. Anal. Appl. 289, 35--54 (2004; Zbl 1054.34122)]. Then the result is applied to the global attractivity of an almost periodic solution to a single food-limited population model with almost periodic parameters.