Almost Periodic Dynamics of a Delayed Patch-Constructed Nicholson’s Blowflies System

• Qian Wang ^[1] ; Lihong Huang ^[2]
  1. [1] Changsha University of Science and Technology

     Changsha University of Science and Technology

     China

     
  2. [2] Changsha University

     Changsha University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº Extra 1, 2024
• Idioma: inglés
• DOI: 10.1007/s12346-024-01129-2
• Enlaces
  • Texto completo
• Resumen

  • In this paper,we consider a delayed patch-constructed Nicholson’s blowflies system in almost periodic environment. By combining the innovative inequality technique with the basic properties of almost periodic functions and the fluctuation lemma, some testable criteria are achieved to verify the global exponential stability of the addressed almost periodic system under more general conditions, which improve and complement the existing literature. In particular, the assumptions employed in the established exponential stability criteria are sharp when the addressed system degenerates into the scalar Nicholson’s blowflies equation. Moreover, a numerical example is presented to illustrate the effectiveness of the theoretical results.

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