Internal eradicability for an epidemiological model with diffusion
Sebastian Aniţa - Faculty of Mathematics, University “Al.I. Cuza” and, Institute of Mathematics “Octav Mayer”, Iaşi 700506, Romania (email)
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.
Keywords: SI epidemic model with diffusion, eradicability, controllability.
Received: January 2005; Accepted: August 2005; Published: August 2005.
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