HOPF BIFURCATION ANALYSIS OF A FRACTIONAL-ORDER HOLLING-TANNER PREDATOR-PREY MODEL WITH TIME DELAY

Celik C., DegerlI K.

ANZIAM JOURNAL, cilt.64, sa.1, ss.23-39, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1017/s1446181122000025
  • Dergi Adı: ANZIAM JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, INSPEC, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.23-39
  • Anahtar Kelimeler: fractional-order, time-delay, Hopf bifurcation, predator-prey system, STABILITY, SYSTEM, DISCRETE
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

We study a fractional-order delayed predator-prey model with Honing -Tanner-type functional response. Mainly, by choosing the delay time tau as the bifurcation parameter, we show that Hopf bifurcation can occur as the delay time tau passes some critical values. The local stability of a positive equilibrium and the existence of the Hopf bifurcations are established, and numerical simulations for justifying the theoretical analysis are also presented.