ABSTRACT
The Kermack-McKendrick model for the spread of disease in a homogeneous population is combined with a transport equation to yield a new model for the spatial spread of disease. This system provides a more detailed description of the migration and contact processes than the standard reaction diffusion model, which however, is a limiting case. For the epidemic transport model, global existence of solutions is shown by a Kaniel-Shinbrot iteration scheme. It is proved that the population of infectives eventually disappears and also, using an energy integral approach, that the susceptible population approaches a constant.
