Almost Periodic Solutions for Two Non-instantaneous Impulsive Biological Models

• Rui Ma ^[1] ; JinRong Wang ^[1] ; Mengmeng Li ^[1]
  1. [1] Guizhou University

     Guizhou University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 3, 2022
• Idioma: inglés
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• Resumen

  • This paper investigates two non-instantaneous impulsive biological models. First, a non-instantaneous impulsive hematopoiesis model with pureNon-instantaneous impulsive · Biological model · Almost periodic solution · Converges exponentially · Simulations delay and a noninstantaneous impulsive n-dimensional biological model with pure delay have been proposed. Next, the existence and uniqueness of almost periodic solutions for these two models are proved by us respectively. Then, we prove that all solutions converge exponentially to the positive almost periodic solution respectively. Finally, some simulations are given to show the effectiveness of the theoretical results.