Internal eradicability for an epidemiological model with diffusion

Pages: 437 - 443, Volume 2, Issue 3, August 2005

doi:10.3934/mbe.2005.2.437       Abstract        Full Text (169.1K)       Related Articles

Sebastian Aniţa - Faculty of Mathematics, University “Al.I. Cuza” and, Institute of Mathematics “Octav Mayer”, Iaşi 700506, Romania (email)
Bedreddine Ainseba - Mathématiques Appliquées de Bordeaux, UMR CNRS 5466, case 26, Université Bordeaux 2, 33076 Bordeaux Cedex, France (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.
Mathematics Subject Classification:  92D30.

Received: January 2005;      Accepted: August 2005;      Published: August 2005.