Stability and Bifurcation Analysis of the Caputo Fractional-Order Asymptomatic COVID-19 Model with Multiple Time-Delays

Document Type

Article

Source of Publication

International Journal of Bifurcation and Chaos

Publication Date

2-1-2023

Abstract

Throughout the last few decades, fractional-order models have been used in many fields of science and engineering, applied mathematics, and biotechnology. Fractional-order differential equations are beneficial for incorporating memory and hereditary properties into systems. Our paper proposes an asymptomatic COVID-19 model with three delay terms τ1,τ2,τ3 and fractional-order α. Multiple constant time delays are included in the model to account for the latency of infection in a vector. We study the necessary and sufficient criteria for stability of steady states and Hopf bifurcations based on the three constant time-delays, τ1, τ2, and τ3. Hopf bifurcation occurs in the addressed model at the estimated bifurcation points τ10, τ20, τ30, and τ10*. The numerical simulations fit to real observations proving the effectiveness of the theoretical results. Fractional-order and time-delays successfully enhance the dynamics and strengthen the stability condition of the asymptomatic COVID-19 model.

ISSN

0218-1274

Publisher

World Scientific Pub Co Pte Ltd

Volume

33

Issue

2

Disciplines

Applied Mathematics | Biotechnology

Keywords

asymptotic population, asymptotic stable, COVID-19, Fractional-order, Hopf bifurcation, time-delay

Scopus ID

85150032276

Indexed in Scopus

yes

Open Access

no

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