A stabilizability problem for a reaction-diffusion system modelling a class of spatially structured epidemic systems
type: Item
instance of: scholarly article
title: A stabilizability problem for a reaction-diffusion system modelling a class of spatially structured epidemic systems
zbMATH Open document ID: 1020.92027
DOI: 10.1016/S1468-1218(01)00025-6
author: Sebastian Aniţa
author: Vincenzo Capasso
published in: Nonlinear Analysis. Real World Applications
publication date: 2003-03-11T00:00:00Z
review text: The paper deals with a stabilization problem for a model of indirect transmission of infectious diseases via the pollution of the environment due to the infective population with random dispersal of the pollutant. Assuming that the susceptible population is so large with respect to the infective part to be considered constant, the authors provide conditions for the exponential decay of the epidemic in the whole habitat based on the elimination of the pollutant in a certain subregion.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 93C95
zbMATH DE Number: 1880128
zbMATH Keywords: spatially structured epidemic system
zbMATH Keywords: pollutant
zbMATH Keywords: stabilization
zbMATH Keywords: reaction-diffusion systems
zbMATH Keywords: feedback control
reviewed by: Svitlana P. Rogovchenko
MaRDI profile type: Publication
cites work: Q4521602
cites work: Q4094029
cites work: Analysis and control of nonlinear infinite dimensional systems
cites work: Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model
cites work: Asymptotic stability for an integrodifferential reaction-diffusion system
cites work: Mathematical Structures of Epidemic Systems
cites work: A generalization of the Kermack-McKendrick deterministic epidemic model
cites work: Analysis of a Reaction-Diffusion System Modeling Man--Environment--Man Epidemics
cites work: Q4040043
cites work: Dynamical behavior of epidemiological models with nonlinear incidence rates
full work available at URL: s1468-1218(01)00025-6
OpenAlex ID: W2082687347
description: scientific article; zbMATH DE number 1880128