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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spelling doaj-fdc7a825a02143d6b27ba6700ccc6b112021-07-14T07:21:29ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752017-01-012017611210.14232/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
collection DOAJ
language English
format Article
sources DOAJ
author Cameron Browne
Min Wang
Glenn Webb
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
author_facet Cameron Browne
Min Wang
Glenn Webb
author_sort Cameron Browne
title 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_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_sort stochastic model of nosocomial epidemics in hospital intensive care units
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2017-01-01
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.
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
work_keys_str_mv AT cameronbrowne astochasticmodelofnosocomialepidemicsinhospitalintensivecareunits
AT minwang astochasticmodelofnosocomialepidemicsinhospitalintensivecareunits
AT glennwebb astochasticmodelofnosocomialepidemicsinhospitalintensivecareunits
AT cameronbrowne stochasticmodelofnosocomialepidemicsinhospitalintensivecareunits
AT minwang stochasticmodelofnosocomialepidemicsinhospitalintensivecareunits
AT glennwebb stochasticmodelofnosocomialepidemicsinhospitalintensivecareunits
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