Almost periodic stability on a delay Nicholson’s blowflies equation

Abstract

ABSTRACT By applying some novel inequality techniques, the properties of almost periodic function and the fluctuation lemma, this manuscript establishes the criteria for the existence and globally exponential stability of positive almost periodic solutions of a non-autonomous delayed Nicholson’s blowflies model under weaker conditions, which refine and complement some existing literature. In particular, when the influence of delay disappears and the addressed model is autonomous, the adopted assumption in the obtained result is a sharp condition ensuring the global exponential stability of positive equilibrium points. Moreover, some numerical examples are provided to illustrate the effectiveness and feasibility of the theoretical findings.