CAUCHY: Jurnal Matematika Murni dan Aplikasi
Vol 7, No 4 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI

A Fractional-Order Leslie-Gower Model with Fear and Allee Effect

Firdiansyah, Adin Lazuardy (Unknown)
Rosikhoh, Dewi (Unknown)

Article Info

Publish Date
24 May 2023

Abstract

In this manuscript, we investigate the dynamics behavior of a fractional-order Leslie-Gower model by considering fear effect in the prey and Allee effect in predators. Firstly, all possible equilibrium points are analyzed by identifying the conditions of their existence and local stability. Here, we find four equilibrium points, where two local stable points and two unstable points. Furthermore, we also investigate the stability changing caused by Hopf bifurcation when the order of derivative changes. Finally, we perform several simulations to support our analysis results.        

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Journal Info
CAUCHY: Jurnal Matematika Murni dan Aplikasi
Website

Abbrev

Math

Publisher

Universitas Islam Negeri Maulana Malik Ibrahim Malang

Subject

Mathematics

Description

Jurnal CAUCHY secara berkala terbit dua (2) kali dalam setahun. Redaksi menerima tulisan ilmiah hasil penelitian, kajian kepustakaan, analisis dan pemecahan permasalahan di bidang Matematika (Aljabar, Analisis, Statistika, Komputasi, dan Terapan). Naskah yang diterima akan dikilas (review) oleh ...