  In this paper, we revisit the famous Kermack-McKendrick model with nonlocal
spatial interactions by shedding new lights on associated spreading properties
and we also prove the existence and uniqueness of traveling fronts. Unlike
previous studies that have focused on integrated versions of the model for
susceptible population, we analyze the long time dynamics of the underlying
age-structured model for the cumulative density of infected individuals and
derive precise asymptotic behavior for the infected population. Our approach
consists in studying the long time dynamics of an associated transport equation
with nonlocal spatial interactions whose spreading properties are close to
those of classical Fisher-KPP reaction-diffusion equations. Our study is
self-contained and relies on comparison arguments.
