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

Accepted: 10 Jul 2020
Published online: 05 Jan 2022 *

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