Abstract
An infection‐age virus dynamics model for human immunodeficiency virus (or hepatitis B virus) infections with saturation effects of infection rate and immune response is investigated in this paper. It is shown that the global dynamics of the model is completely determined by two critical values R0, the basic reproductive number for viral infection, and R1, the viral reproductive number at the immune‐free infection steady state (R1<R0). If R0<1, the uninfected steady state E0 is globally asymptotically stable; if R0>1 > R1, the immune‐free infected steady state E∗ is globally asymptotically stable; while if R1>1, the antibody immune infected steady state is globally asymptotically stable. Moreover, our results show that ignoring the saturation effects of antibody immune response or infection rate will result in an overestimate of the antibody immune reproductive number. Copyright © 2016 John Wiley & Sons, Ltd.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
