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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Vydáno v:	Journal of computational and applied mathematics Ročník 413; s. 114401
Hlavní autoři:	Naik, Parvaiz Ahmad, Eskandari, Zohreh, Yavuz, Mehmet, Zu, Jian
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier B.V 15.10.2022
Témata:	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
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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