2020
DOI: 10.1142/s1793524520500606
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Dynamical analysis for delayed virus infection models with cell-to-cell transmission and density-dependent diffusion

Abstract: In this paper, certain delayed virus dynamical models with cell-to-cell infection and density-dependent diffusion are investigated. For the viral model with a single strain, we have proved the well-posedness and studied the global stabilities of equilibria by defining the basic reproductive number [Formula: see text] and structuring proper Lyapunov functional. Moreover, we found that the infection-free equilibrium is globally asymptotically stable if [Formula: see text], and the infection equilibrium is global… Show more

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