On the global attractivity of non-autonomous neural networks with a distributed delay

Abstract

We consider a system of s nonlinear differential equations with a distributed delay and obtain global asymptotic stability conditions, which are independent of delays. The ideas of the proofs are based on the notion of a strong attractor of a vector difference equation associated with a nonlinear vector differential equation. The results are applied to Hopfield neural networks and to compartment-type models of population dynamics with Nicholson’s blowflies growth law.