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Mathematical Biosciences and Engineering (MBE)
 

A nosocomial epidemic model with infection of patients due to contaminated rooms

Pages: 761 - 787, Volume 12, Issue 4, August 2015      doi:10.3934/mbe.2015.12.761

 
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Cameron Browne - Mathematics Department, Vanderbilt University, Nashville, TN 37240, United States (email)
Glenn F. Webb - Mathematics Department, Vanderbilt University, Nashville, TN 37240, United States (email)

Abstract: A model of epidemic bacterial infections in hospitals is developed. The model incorporates the infection of patients and the contamination of healthcare workers due to environmental causes. The model is analyzed with respect to the asymptotic behavior of solutions. The model is interpreted to provide insight for controlling these nosocomial epidemics.

Keywords:  Bacterial infection, antibiotic resistance, local stability, Lyapunov functional, next generation matrix.
Mathematics Subject Classification:  Primary: 92C60; Secondary: 34D20.

Received: May 2014;      Accepted: January 2015;      Available Online: April 2015.

 References