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math.DS2026
A codimension-5 Hopf bifurcation yielding 5 limit cycles in a SIRS epidemic model with nonlinear incidence rate
Pei Yu, Wanyue Tang, Yanni Zeng
In a recent paper published in the Journal of Differential Equations (384, 2024), Cui and Zhao investigated an SIRS epidemic model with the nonlinear incidence rate $\frac{kI^p}{1+…
math.DS2025
Determining codimension of Bogdanov-Takens and Bautin bifurcations via simplest normal form computation
Pei Yu, Yanni Zeng, Maoan Han
In solving real-world problems, determining the codimension of Bogdanov-Takens (BT) and Bautin (generalized Hopf) bifurcations can be very challenging, even for simple two-dimensio…