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Complex dynamics of a discrete-time Bazykin-Berezovskaya prey-predator model with a strong Allee effect
(Elsevier, 2022) Naik, Parvaiz Ahmad; Eskandari, Zohreh; Yavuz, Mehmet; Zu, Jian
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.