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=Volume 7 - 2021

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=In this study, we propose a fractional-order virus infection model, including latent infection, the Holling type II response function, and a time-delay representing the viral production cycle of infected cells. 
According to the characteristics equations for the model, certain sufficient conditions that guarantee local asymptotic stability of infection-free, and interior steady states are discussed.  A Hopf bifurcation occurs when the time-delay passes through its critical value (threshold parameter).  Utilizing LaSalle's invariance principle and Lyapunov functions, we also investigate the global stability of infection-free and interior steady states. Numerical simulations illustrate the effectiveness of the theoretical results.