Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
5-2013
Committee Chair or Co-Chairs
Dr. Michele Joyner
Committee Members
Dr. Jeff Knisley, Dr. Ariel Cintron-Arias, Dr. Robert Gardner
Abstract
Antibiotic-resistant bacteria(ARB) is causing increased health risk and cost to society. Mathematical models have been developed to study the transmission of resistant bacteria and the efficacy of preventive measures to slow its spread within a hospital setting. The majority of these models have assumed a constant total hospital population with the admission and discharge rates being equal throughout the duration. But a typical hospital population varies from day to day and season to season. In this thesis, we apply variable admission and discharge daily rates to existing deterministic and stochastic models which examine the transmission of single and dual resistant bacteria. We perform stability and equilibrium analyses as well as a sensitivity analysis on the resulting model..
Document Type
Thesis - unrestricted
Recommended Citation
Snyder, Edward H., "A Mathematical Model for Antibiotic Resistance in a Hospital Setting with a Varying Population" (2013). Electronic Theses and Dissertations. Paper 1128. https://dc.etsu.edu/etd/1128
Copyright
Copyright by the authors.
Included in
Chemicals and Drugs Commons, Health and Medical Administration Commons, Mathematics Commons, Virology Commons