A stochastic model of nosocomial epidemics in hospital intensive care units

A stochastic differential equation model is developed to portray an epidemic of antibiotic resistant infections in a hospital intensive care unit. The dynamical behaviors of the solutions of this model are analyzed and numerical simulations are given to illustrate the dynamics of the solutions.

Bibliographic Details
Main Authors: Cameron Browne, Min Wang, Glenn Webb
Format: Article
Language:English
Published: University of Szeged 2017-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5365
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author Cameron Browne
Min Wang
Glenn Webb
author_facet Cameron Browne
Min Wang
Glenn Webb
author_sort Cameron Browne
collection DOAJ
description A stochastic differential equation model is developed to portray an epidemic of antibiotic resistant infections in a hospital intensive care unit. The dynamical behaviors of the solutions of this model are analyzed and numerical simulations are given to illustrate the dynamics of the solutions.
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spelling doaj.art-fdc7a825a02143d6b27ba6700ccc6b112023-05-09T07:53:06ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752017-01-012017611210.14232/ejqtde.2017.1.65365A stochastic model of nosocomial epidemics in hospital intensive care unitsCameron Browne0Min Wang1Glenn Webb2Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana, USADepartment of Mathematics, Rowan University, Glassboro, New Jersey, USADepartment of Mathematics, Vanderbilt University, Nashville, Tennessee, USAA stochastic differential equation model is developed to portray an epidemic of antibiotic resistant infections in a hospital intensive care unit. The dynamical behaviors of the solutions of this model are analyzed and numerical simulations are given to illustrate the dynamics of the solutions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5365 stochastic differential equationnosocomial infectionasymptotic behavior
spellingShingle Cameron Browne
Min Wang
Glenn Webb
A stochastic model of nosocomial epidemics in hospital intensive care units
Electronic Journal of Qualitative Theory of Differential Equations
stochastic differential equation
nosocomial infection
asymptotic behavior
title A stochastic model of nosocomial epidemics in hospital intensive care units
title_full A stochastic model of nosocomial epidemics in hospital intensive care units
title_fullStr A stochastic model of nosocomial epidemics in hospital intensive care units
title_full_unstemmed A stochastic model of nosocomial epidemics in hospital intensive care units
title_short A stochastic model of nosocomial epidemics in hospital intensive care units
title_sort stochastic model of nosocomial epidemics in hospital intensive care units
topic stochastic differential equation
nosocomial infection
asymptotic behavior
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5365
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AT glennwebb astochasticmodelofnosocomialepidemicsinhospitalintensivecareunits
AT cameronbrowne stochasticmodelofnosocomialepidemicsinhospitalintensivecareunits
AT minwang stochasticmodelofnosocomialepidemicsinhospitalintensivecareunits
AT glennwebb stochasticmodelofnosocomialepidemicsinhospitalintensivecareunits