A comprehensive spatial-temporal infection model

• Modeling infections as chemical processes captures their spatio-temporal spreading. Inclusion of areal densities in the model that lead to new conclusions regarding effect initial and heterogeneous environments. diffusion leads propagating fronts infection display select wave-like behavior. Motivated by analogies between spread processes, we develop a accounts for transport where infected populations correspond species. Areal emerge key variables, thus capturing spatial density. We derive expressions kinetics rates, important parameter R 0 , include density its distribution. present results batch reactor, process equivalent SIR model, examine how dependence on extent, individuals, fluctuations population progression disease. then consider spatially distributed systems. Diffusion generates traveling waves propagate at constant speed, proportional square root diffusivity . Preliminary analysis shows similar behavior stochastic advection.