Dynamics of the diffusive Nicholson’s blowflies equation with two distinct distributed delays

Abstract

This paper addresses the dynamic behaviors of a diffusive Nicholson’s blowflies equation with two distinct distributed delays, i.e., diapause and developmental delays. By applying some differential inequality techniques and the fluctuation lemma, two novel criteria to ensure the global exponential stability (in the L2 norm) and characterize long time dynamic behavior are established. The obtained theoretical results encompass some existing ones. In particular, two explanatory examples are performed to substantiate our analytical findings.