Abstract
AbstractThis work investigates the existence and asymptotic behavior of solutions to a nonlocal dispersal in‐host viral model with humoral immunity. The model features both spatial movement of virus and humoral immunity response to the virus. This paper gives the principal eigenvalue () of the nonlocal dispersal problem, and it is verified to be a critical value that determines the infection dynamics. The uninfected equilibrium is unique and stable for . For , the equilibrium is not stable, and infected with/without B cells response equilibrium emerges. This paper also establishes the dynamics of infected equilibria. Numerical simulations are carried out to demonstrate the analytical results of this study.
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