Complex dynamics of a discrete-time Bazykin-Berezovskaya prey-predator model with a strong Allee effect

Küçük Resim Yok

Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The present paper investigates the critical normal form coefficients for the one-parameter and two-parameter bifurcations of a discrete-time Bazykin-Berezovskaya prey-predator model. Based on the critical coefficients, it can be determined which scenario corresponds to each bifurcation. Further, for a better representation of the study, the complex dynamics of the model are investigated theoretically and numerically using MatcotM, which is a Matlab package. Some graphical representations of the model are presented to verify the obtained results. The outcome of the study reveals that the model undergoes multiple bifurcations including period-doubling, Neimark-Sacker, and strong resonance bifurcations. (C) 2022 Elsevier B.V. All rights reserved.

Açıklama

Anahtar Kelimeler

Prey-Predator Model, Normal Form Coefficient, Bifurcation, Period-Doubling Bifurcation, Neimark-Sacker Bifurcation, Strong Resonance Bifurcations

Kaynak

Journal Of Computational And Applied Mathematics

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

413

Sayı

Künye