Global dynamics of an age‐structured virus model with saturation effects |
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| Authors: | Xichao Duan Saling Yuan |
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| Affiliation: | 1. School of Management, University of Shanghai for Science and Technology, Shanghai, China;2. College of Science, University of Shanghai for Science and Technology, Shanghai, China |
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| 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 R 0, the basic reproductive number for viral infection, and R 1, the viral reproductive number at the immune‐free infection steady state (R 1<R 0). If R 0<1, the uninfected steady state E 0 is globally asymptotically stable; if R 0>1 > R 1, the immune‐free infected steady state E ? is globally asymptotically stable; while if R 1>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. |
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| Keywords: | age‐structured virus model saturation effect age‐since‐infection steady state Lyapunov functional global stability |
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