A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay

Abstract

For a class of differential equations with piecewise constant delay, we establish sufficient conditions for the unique positive equilibrium to be globally asymptotically stable, which improves the results obtained by the contractivity method and extend the recent result on "Gopalsamy and Liu's conjecture" to a nonautonomous case. © 2007 Elsevier Ltd. All rights reserved.