A nonlocal dispersal and time delayed HIV infection model with general incidences

Biologically, because of the impact of reproduction period and nonlocal dispersal of HIV-infected cells, time delay and spatial heterogeneity should be considered. In this paper, we establish an HIV infection model with nonlocal dispersal and infection age. Moreover, applying the theory of Fourier transformation and von Foerster rule, we transform the model to an integro-differential equation with nonlocal time delay and dispersal. The well-posedness, positivity, and boundedness of the solution for the model are studied.