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Stochastic Analysis and Applications Volume 32, 2014 - Issue 5
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Original Article

Stationary Solution of a Stochastic Nosocomial Epidemic Model in Hospital Intensive Care Units

John R. GraefDepartment of Mathematics, University of Tennessee at Chattanooga, Chattanooga, Tennessee, USACorrespondence[email protected]
,
Lingju KongDepartment of Mathematics, University of Tennessee at Chattanooga, Chattanooga, Tennessee, USA
&
Min WangDepartment of Mathematics, University of Tennessee at Chattanooga, Chattanooga, Tennessee, USA
Pages 840-850 | Received 04 Jun 2014, Accepted 23 Jun 2014, Published online: 02 Sep 2014
 
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Abstract

In this article, the authors consider a stochastic differential equation model of an antibiotic resistant infection epidemic in a hospital intensive care unit. A set of criteria on the existence of the stationary solution and its dynamical behavior are obtained. Numerical simulations are also performed to verify the results.

2010 Mathematics Subject Classification:

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