Stability analysis of delay patch-constructed Nicholson’s blowflies system

Abstract

For delay patch-constructed periodic Nicholson’s blowflies system, the global stability on positive periodic solutions remains imperfectly understood at best. In this paper, by combining the fluctuation lemma with elementary inequality techniques, we build up several novel criteria to ensure the global asymptotic stability of positive periodic solutions of the proposed model, which have essentially novelty and supplement some existing literature. In particular, we afford some numerical simulations to substantiate the validness and efficacy of the obtained theoretic results.