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

Fathalla A. Rihan, K. Udhayakumar, Nicola Sottocornola, M. Naim Anwar, Abdul Q.M. Khaliq

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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.

Original languageEnglish
Article number2350022
JournalInternational Journal of Bifurcation and Chaos
Volume33
Issue number2
DOIs
Publication statusPublished - Feb 1 2023

Keywords

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

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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