Due to the importance of the historical memory in the analysis of a class of dynamical systems, weintroduce in this paper a time fractional-order derivative into the Goldbeter-Lefever model, which is a generalized form of its corresponding first-derivative model. For this system, we investigate the local stability of the proposed system, and we discuss the Hopf bifurcation. Some numerical simulations are performed to confirm the analytical obtained results.
Dynamical Behavior of the Fractional Goldbeter-Lefever Model
Formato A.;Villecco F.
2024-01-01
Abstract
Due to the importance of the historical memory in the analysis of a class of dynamical systems, weintroduce in this paper a time fractional-order derivative into the Goldbeter-Lefever model, which is a generalized form of its corresponding first-derivative model. For this system, we investigate the local stability of the proposed system, and we discuss the Hopf bifurcation. Some numerical simulations are performed to confirm the analytical obtained results.File in questo prodotto:
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