title: Internal eradicability for an epidemiological model with diffusion.
abstract: This work is concerned with the analysis of the possibility for eradicating a disease in an infected population. The epidemiological model under study is of SI type with diffusion. We assume the policy strategy acting on the infected individuals over a subset of the whole spatial territory. Using the framework of nonlinear reaction-diffusion equations, and spectral theory of linear differential operators, we give necessary conditions and sufficient conditions of eradicability.
authors.affiliation: Faculty of Mathematics, University "Al.I. Cuza" and Institute of Mathematics, Romanian Academy, Iasi 700506, Romania. sanita@uaic.ro.
authors.forename: Sebastian
authors.initials: S
authors.lastname: Anita
authors.forename: Bedreddine
authors.initials: B
authors.lastname: Ainseba