Global dynamics of one class of nonlinear nonautonomous systems with time-varying delays (Q642612)

This paper deals with a class of nonlinear nonautonomous differential systems including time-varying delays. Sufficient conditions for global attractiveness of the zero vector function are established, via construction of matrix inequalities and comparison technique. These results are applied to a class of Nicholson-type nonautonomous systems, to which existence, permanence and boundedness of positive global solutions are studied. The paper ends with some applications to particular asymptotically autonomous systems.