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Renormalized solutions of an anisotropic reaction-diffusion-advection system with $L^1$ data
We prove existence of a renormalized solution to a
system of nonlinear partial differential equations with anisotropic
diffusivities and transport effects, supplemented with initial
and Dirichlet boundary conditions. The data are assumed to be merely
integrable. This system models the spread of an epidemic
disease through a heterogeneous habitat.