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

• 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
• DOI: 10.1016/j.cam.2022.114401

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.