In this study, we investigate codimension-two bifurcations in a discrete predator--prey model. First, we provide a theoretical analysis of several bifurcation types, including $1{:}2$, $1{:}3$, and $1{:}4$ resonances, generalized flip bifurcations, and generalized Neimark--Sacker bifurcations. Using the center manifold theory and normal form reduction, the conditions for the occurrence of these bifurcations are derived. Subsequently, numerical simulations are performed with the MatcontM package in MATLAB to validate the analytical results. The findings offer a comprehensive view of the complex dynamics arising from codimension-two bifurcations in biological interaction systems.
Hadadi, J. , Eskandari, Z. and Khoshsiar Ghaziani, R. (2026). Analysis of Generalized Flip, Chenciner, and Resonance Bifurcations in a Discrete Predator-Prey System. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2026.70755.3533
MLA
Hadadi, J. , , Eskandari, Z. , and Khoshsiar Ghaziani, R. . "Analysis of Generalized Flip, Chenciner, and Resonance Bifurcations in a Discrete Predator-Prey System", Computational Methods for Differential Equations, , , 2026, -. doi: 10.22034/cmde.2026.70755.3533
HARVARD
Hadadi, J., Eskandari, Z., Khoshsiar Ghaziani, R. (2026). 'Analysis of Generalized Flip, Chenciner, and Resonance Bifurcations in a Discrete Predator-Prey System', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2026.70755.3533
CHICAGO
J. Hadadi , Z. Eskandari and R. Khoshsiar Ghaziani, "Analysis of Generalized Flip, Chenciner, and Resonance Bifurcations in a Discrete Predator-Prey System," Computational Methods for Differential Equations, (2026): -, doi: 10.22034/cmde.2026.70755.3533
VANCOUVER
Hadadi, J., Eskandari, Z., Khoshsiar Ghaziani, R. Analysis of Generalized Flip, Chenciner, and Resonance Bifurcations in a Discrete Predator-Prey System. Computational Methods for Differential Equations, 2026; (): -. doi: 10.22034/cmde.2026.70755.3533
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