A two-component reaction–diffusion system modelling a class of spatially structured epidemic systems is considered. The system describes the spatial spread of infectious diseases mediated by environmental pollution. The internal zero stabilization is investigated. We provide necessary conditions of stabilizability and sufficient conditions of stabilizability. In the affirmative case a simple feedback stabilizing control is indicated. It shows that it is possible to diminish exponentially the epidemic process, just by reducing the concentration of the pollutant in a nonempty and sufficiently large subset of the spatial domain (think globally, act locally).
|Titolo:||A stabilization strategy for a reaction–diffusion system modelling a class of spatially structured epidemic systems (think globally, act locally)|
CAPASSO, VINCENZO (Ultimo)
|Parole Chiave:||Epidemic systems; Feedback control; Man-environment epidemics; Principal eigenvalue; Reaction-diffusion systems; Stabilization|
|Settore Scientifico Disciplinare:||Settore MAT/06 - Probabilita' e Statistica Matematica|
|Data di pubblicazione:||2009|
|Digital Object Identifier (DOI):||10.1016/j.nonrwa.2008.03.009|
|Appare nelle tipologie:||01 - Articolo su periodico|