Abstract
In this paper, the dynamical behaviors for a diffusive virus infection model with two general nonlinear incidence functions, CTL immune impairment and discrete delays, are investigated. Cell‐to‐cell transmission plays a more important role in virus spreading in addition to virus‐to‐cell infection. Nonnegativity and boundcedness properties of the solutions are proven to show the well‐posedness of the model. Five reproduction numbers are calculated and verified to be thresholds determining the global properties of the virus model. A significant impact of cell‐to‐cell transmission is that they increase the basic reproduction number. If one neglects either the cell‐to‐cell transmission or virus‐to‐cell infection, the basic reproduction number of the model is underevaluated. Numerical simulations are carried out to illustrate the dynamical behavior of the model.
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