AUTHOR=Rajivganthi C. , Rihan F. A. 

TITLE=Global Dynamics of a Delayed Fractional-Order Viral Infection Model With Latently Infected Cells

JOURNAL=Frontiers in Applied Mathematics and Statistics

VOLUME=7

YEAR=2021

URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2021.771662

DOI=10.3389/fams.2021.771662

ISSN=2297-4687

ABSTRACT=<p>In this paper, we propose a fractional-order viral infection model, which includes latent infection, a Holling type II response function, and a time-delay representing viral production. Based on the characteristic equations for the model, certain sufficient conditions guarantee local asymptotic stability of infection-free and interior steady states. Whenever the time-delay crosses its critical value (threshold parameter), a Hopf bifurcation occurs. Furthermore, we use LaSalle’s invariance principle and Lyapunov functions to examine global stability for infection-free and interior steady states. Our results are illustrated by numerical simulations.</p>