Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 43, Issue 11, Pages 6677-6701Publisher
WILEY
DOI: 10.1002/mma.6408
Keywords
B-cell impairment; cell-to-cell transmission; global stability; Lyapunov function; latency infection; time delay; virus dynamics
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Funding
- Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah [D-178-130-1441]
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This paper formulates a virus dynamics model with impairment of B-cell functions. The model incorporates two modes of viral transmission: cell-free and cell-to-cell. The cell-free and cell-cell incidence rates are modeled by general functions. The model incorporates both, latently and actively, infected cells as well as three distributed time delays. Nonnegativity and boundedness properties of the solutions are proven to show the well-posedness of the model. The model admits two equilibria that are determined by the basic reproduction number R-0. The global stability of each equilibrium is proven by utilizing Lyapunov function and LaSalle's invariance principle. The theoretical results are illustrated by numerical simulations. The effect of impairment of B-cell functions and time delays on the virus dynamics are studied. We have shown that if the functions of B-cell is impaired, then the concentration of viruses is increased in the plasma. Moreover, we have observed that increasing the time delay will suppress the viral replication.
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