FRACTIONAL PREY-PREDATOR MODEL WITH LINEAR FUNCTIONAL RESPONSE, PREY REFUGE, FEAR AND CARRY-OVER EFFECT

Balcı E.

IFSCOM-E 2023 International IFS and Contemporary Mathematics and Engineering Conference, Mersin, Türkiye, 8 - 11 Temmuz 2023, cilt.2, ss.109-116

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2
  • Basıldığı Şehir: Mersin
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.109-116
  • Erciyes Üniversitesi Adresli: Evet

Özet

This paper presents a prey-predator model that incorporates the trait-mediated fear effect and its carry-over effect, as well as the prey defense mechanism of prey refuge. The functional response considered in the model is the Holling-I type. Additionally, to account for memory within the system, we analyze the Caputo fractional order version of the proposed model. The obtained results are also supported by numerical simulations.