Global Dynamics of a Fractional-order Ebola Model with Delayed Immune Response on Complex Networks

R. Rakkiyappan, V. Preethi Latha, F. A. Rihan

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study the global dynamics of a fractional-order Ebola model with delayed immune response on complex networks. The model describes the interaction of Ebola virus with the immune cells. A time delay is introduced in the cytotoxic T-lymphocyte term to ensure the response period taken against the virus. By constructing a suitable Lyapunov function the global stability of the equilibrium points has been investigated with help of basic reproduction. The analysis shows that the fractional-order time-delay can effectively enrich the dynamics and strengthen the stability condition of the fractional-order infection model. Finally, the derived theoretical results are justified by some numerical simulations.

Original languageEnglish
Pages (from-to)681-689
Number of pages9
JournalProceedings of the National Academy of Sciences India Section A - Physical Sciences
Volume91
Issue number4
DOIs
Publication statusPublished - Dec 2021

Keywords

  • CTL response
  • Complex networks
  • Ebola virus
  • Stability
  • Time-delay

ASJC Scopus subject areas

  • General Physics and Astronomy

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