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

Author

Listed:
  • Zhao, Xian
  • Huang, Chuangxia
  • Liu, Bingwen
  • Cao, Jinde

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.

Suggested Citation

  • Zhao, Xian & Huang, Chuangxia & Liu, Bingwen & Cao, Jinde, 2024. "Stability analysis of delay patch-constructed Nicholson’s blowflies system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 379-392.
    • Handle: RePEc:eee:matcom:v:222:y:2024:i:c:p:379-392
    DOI: 10.1016/j.matcom.2023.09.012
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    References listed on IDEAS

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    1. Huang, Chuangxia & Yang, Xiaoguang & Cao, Jinde, 2020. "Stability analysis of Nicholson’s blowflies equation with two different delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 201-206.
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