Invariant and globally exponentially attractive sets of separated variables systems with time-varying delays

In this paper, we study the positive invariant set, and globally exponentially attractive set for a class of nonlinear separated variables systems with bounded time-varying delays Based on inequality techniques, the properties of non-negative matrices and vector Lyapunov function method, some algebraic criterions for the the above-mentioned sets are obtained Finally, one example is given to demonstrate our results.