Jambura Journal of Biomathematics (JJBM)
Volume 1, Issue 1: June 2020

Bifurkasi Hopf pada Model Lotka-Volterra Orde-Fraksional dengan Efek Allee Aditif pada Predator

Hasan S. Panigoro (Jurusan Matematika, Universitas Negeri Gorontalo)
Dian Savitri (Jurusan Matematika, Universitas Negeri Surabaya)

Article Info

Publish Date
17 Jun 2020

Abstract

This article aims to study the dynamics of a Lotka-Volterra predator-prey model with Allee effect in predator. According to the biological condition, the Caputo fractional-order derivative is chosen as its operator. The analysis is started by identifying the existence, uniqueness, and non-negativity of the solution. Furthermore, the existence of equilibrium points and their stability is investigated. It has shown that the model has two equilibrium points namely both populations extinction point which is always a saddle point, and a conditionally stable co-existence point, both locally and globally. One of the interesting phenomena is the occurrence of Hopf bifurcation driven by the order of derivative. Finally, the numerical simulations are given to validate previous theoretical results.

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Journal Info
Jambura Journal of Biomathematics (JJBM)
Website

Abbrev

JJBM

Publisher

Universitas Negeri Gorontalo

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

Description

Jambura Journal of Biomathematics (JJBM) aims to become the leading journal in Southeast Asia in presenting original research articles and review papers about a mathematical approach to explain biological phenomena. JJBM will accept high-quality article utilizing mathematical analysis to gain ...