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

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...

Full description

Saved in:
Bibliographic Details
Published in:Proceedings of the National Academy of Sciences, India, Section A, physical sciences India, Section A, physical sciences, 2021-12, Vol.91 (4), p.681-689
Main Authors: Rakkiyappan, R., Preethi Latha, V., Rihan, F. A.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Dynamic stability
Ebola virus
Immune system
Liapunov functions
Lymphocytes
Mathematical models
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Quantum Physics
Scientific Research Paper
Time lag
Viral diseases
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0369-8203
2250-1762
DOI:10.1007/s40010-021-00756-7