Title: Bifurcation analysis of fractional-order VD model
Authors: P. Ramesh
Addresses: Department of Mathematics, Periyar University, Salem, Tamilnadu, 636 011, India
Abstract: In this paper, we have introduced the fractional-order VD model. Also, we studied the basic results such as existence, uniqueness, boundedness of the fractional-order dynamical system. The local stability and Hopf bifurcation analysis of the fractional-order VD model are studied. Finally, we present some numerical simulations that validates the theoretical results.
Keywords: boundedness; existence and uniqueness; fractional dynamical system; stability; Hopf bifurcation; Caputo derivative; numerical solution.
DOI: 10.1504/IJDSDE.2021.120049
International Journal of Dynamical Systems and Differential Equations, 2021 Vol.11 No.5/6, pp.542 - 565
Received: 11 May 2019
Accepted: 10 Jul 2020
Published online: 05 Jan 2022 *