CD Skripsi

Pengaruh Allee Dan Fear Effect Pada Model Predator-Prey Orde Fraksional Caputo Dengan Perlindungan Prey

---

This final project discusses the dynamics of a fractional-order predator-prey system that incorporates three effects on the prey population: the Allee effect, fear effect, and shelter effect. The model under study has several equilibrium points, and their stability is analyzed based on various initial conditions and system parameters. Simulations are conducted to explore how these parame- ters influence the behavior and stability of the system. The results show that the prey population is at risk of extinction if the initial density is sufficiently low and falls within the attraction region of the extinction equilibrium point. Additionally, by increasing the fear level or shelter rate, or by reducing prey natality, the system can achieve stable coexistence between predator and prey. The fractional-order system is proven to be more stable than the integer-order system, with a lower threshold for achieving stable coexistence. The findings are verified through numerical simulations, demonstrating that appropriately increasing the fear level or shelter rate can promote system stability.
Keywords: Fractional order predator-prey models, Holling type-II, Allee effe- ct, fear effect, prey refuge, stability

---

Ketersediaan

Informasi Detail

Judul Seri

-

No. Panggil

2003112291

Penerbit

Pekanbaru : Universitas Riau FMIPA Matematika., 2024

Deskripsi Fisik

-

Bahasa

Indonesia

ISBN/ISSN

-

Klasifikasi

2003112291

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

MATEMATIKA

Info Detail Spesifik

-

Pernyataan Tanggungjawab

Mutia

Versi lain/terkait

Lampiran Berkas

Komentar

---

Anda harus masuk sebelum memberikan komentar