Complex dynamics of a discrete-time Bazykin-Berezovskaya prey-predator model with a strong Allee effect. (English) Zbl 1492.92067
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.
MSC:
| 92D25 | Population dynamics (general) |
| 34C23 | Bifurcation theory for ordinary differential equations |
Keywords:
prey-predator model; normal form coefficient; bifurcation; period-doubling bifurcation; Neimark-Sacker bifurcation; strong resonance bifurcationsReferences:
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