Quantitative analysis of fractional-order nonlinear financial system with time delay

What is it about?

Stability analysis is an established tool for the analysis of complex mathematical models. A Hopf bifurcation analysis of a dynamical system is used to understand how the solutions and their stability change as the parameters in the system vary. In this paper, by using Laplace transformation, we analyze the asymptotic stability of the equilibrium points of the model. We study the Hopf bifurcation analysis of the model. We find the reproduction number R0 by the next-generation matrix method and show that the system is stable and controllable without Hopf bifurcation. Finally, by using the predictor-corrector scheme, we do the numerical simulations to verify the theoretical results.

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Photo by Khamkéo Vilaysing on Unsplash

Photo by Khamkéo Vilaysing on Unsplash

Why is it important?

Stability analysis is an established tool for the analysis of complex mathematical models. A Hopf bifurcation analysis of a dynamical system is used to understand how the solutions and their stability change as the parameters in the system vary. In this paper, we have done the stability analysis as well as the Bifurcation analysis for the model.