Contractivity for nonautonomous logistic equation with piecewise constant delays

In this paper, we extend the result in [Y. Muroya, Persistence, contractivity and global stability in logistic equations with piecewise constant delays, J. Math. Anal. Appl. 270 (2002) 602–635] to nonautonomous logistic equations with piecewise constant arguments and establish two sufficient conditions for contractivity‐like property, from which the global asymptotic stability of the solutions of this equation is derived, even if the effect of delays dominates over the instantaneous feedback. We offer two examples to illustrate our results.