An Analyses on the Pseudo Almost Automorphic Solutions of a Biological Model

Yazgan R.

ACTA APPLICANDAE MATHEMATICAE, cilt.179, sa.1, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 179 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s10440-022-00488-9
  • Dergi Adı: ACTA APPLICANDAE MATHEMATICAE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, ABI/INFORM, Aerospace Database, Compendex, MathSciNet, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: Banach fixed point theorem, Global exponential stability, Nicholson's blowflies, Pseudo almost automorphic, ALMOST-PERIODIC-SOLUTIONS, NICHOLSONS BLOWFLIES MODEL, DIFFERENTIAL-EQUATIONS
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This study is about getting some conditions that guarantee the existence and uniqueness of the pseudo almost automorphic (PAA) solutions of Nicholson's blowflies with time-varying delays. Some adequate conditions have been obtained for the existence, uniqueness global exponential stability of the PAA solutions of the Nicholson's blowflies, which we dealt with using some differential equation inequalities, the PAA theory, and the Banach Fixed Point Theorem. Besides, an example is given to demonstrate the accuracy of the conditions of our main results.