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

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...

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Bibliographic Details
Published in:Journal of computational and applied mathematics Vol. 413; p. 114401
Main Authors: Naik, Parvaiz Ahmad, Eskandari, Zohreh, Yavuz, Mehmet, Zu, Jian
Format: Journal Article
Language:English
Published: Elsevier B.V 15.10.2022
Subjects:
Bifurcation
Neimark–Sacker bifurcation
Normal form coefficient
Period-doubling bifurcation
Prey-predator model
Strong resonance bifurcations
Neimark–Sacker bifurcation
Bifurcation
Period-doubling bifurcation
Normal form coefficient
Strong resonance bifurcations
Prey-predator model
ISSN:0377-0427, 1879-1778
Online Access:Get full text
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Summary: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2022.114401