Computational dynamics of a Lotka-Volterra Model with additive Allee effect based on Atangana-Baleanu fractional derivative

Hasan S. Panigoro; Emli Rahmi

doi:10.34312/jjbm.v2i2.11886

← Back to search

Computational dynamics of a Lotka-Volterra Model with additive Allee effect based on Atangana-Baleanu fractional derivative

Open

Hasan S. Panigoro, Emli Rahmi

2021 Jambura Journal of Biomathematics Vol. 2 Issue 2 Article Cited by 7 SDG 14SDG 16

Abstract

This paper studies an interaction between one prey and one predator following Lotka-Volterra model with additive Allee effect in predator. The Atangana-Baleanu fractional-order derivative is used for the operator. Since the theoretical ways to investigate the model using this operator are limited, the dynamical behaviors are identified numerically. By simulations, the influence of the order of the derivative on the dynamical behaviors is given. The numerical results show that the order of the derivative may impact the convergence rate, the occurrence of Hopf bifurcation, and the evolution of the diameter of the limit-cycle. © 2021 by the Author(s).

Affiliations

Department of Mathematics, State University of Gorontalo, Bone Bolango, 96119, Indonesia

View full text (DOI) →

Research at a Glance

Research at a Glance

Topics & SDG Alignment

Collaboration

Author Profile (Selected)

References Overview

Journal & Source

Metadata & Integrity