Dynamical analysis of a degenerate and time delayed virus infection model with spatial heterogeneity

This paper is concerned with a degenerate and time delayed virus infection model with spatial heterogeneity and general incidence. The well-posedness of the system, including global existence, uniqueness, and ultimately boundedness of the solutions, as well as the existence of a global attractor, is discussed. The basic reproduction number (Formula presented.) is defined and a characterization of (Formula presented.) is presented. Without the compactness of the solution semiflow, we establish the global dynamics of the system based on (Formula presented.). In addition, when the system is spatially homogeneous, the unique infection steady state is globally asymptotically stable. Simulations are presented to illustrate our theoretical results.