On the Weighted Piecewise Pseudo Almost Automorphic Solutions Mackey-Glass Model with Mixed Delays and Harvesting Term

Amdouni M., Cherif F., Tunç C.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.45, sa.2, ss.619-634, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s40995-020-01043-7
  • Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Aqualine, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, Communication Abstracts, zbMATH
  • Sayfa Sayıları: ss.619-634
  • Anahtar Kelimeler: Banach fixed-point theorem, Harvesting term, Mixed delays, Stability, Weighted piecewise pseudo almost automorphic solutions
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In the present work, we employ the new concept of weighted piecewise pseudo almost automorphic functions and study the impulsive Mackey-Glass model with mixed delays and nonlinear harvesting term. First, we give essential lemmas and some composition theorems related to the considered space. Second, by a suitable fixed-point theorem and the properties of the weighted piece-wise pseudo almost automorphic space, the existence and uniqueness of the weighted piecewise pseudo almost automorphic solutions are established. Furthermore, by Gronwall inequality and impulsive differential inequalities, we obtained the exponential, asymptotic stability of the weighted piecewise pseudo almost automorphic solutions. Finally, four examples and their numerical simulations are given to illustrate that the obtained results are feasible and effective.