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

Xian Zhao, Chuangxia Huang, Bingwen Liu and Jinde Cao

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 222, issue C, 379-392

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.

Keywords: Stability; Periodic solution; Delay; Patch-structured Nicholson’s blowflies system (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:222:y:2024:i:c:p:379-392

DOI: 10.1016/j.matcom.2023.09.012

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