A Mathematical Model for Antibiotic Resistance in a Hospital Setting with a Varying Population

<p>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..</p>

Name thesis:degree_name

MS (Master of Science)

Level thesis:degree_level

Thesis - unrestricted

Discipline thesis:degree_discipline

Mathematical Sciences

Year dc:date.issued

2013

Author dc:creator

• Snyder, Edward H

• antibiotic-resistant bacteria
• deterministic model
• stochastic model
• Chemicals and Drugs
• Health and Medical Administration
• Mathematics
• Virology

Statement dc:rights

• Copyright by the authors.

Repository record dc:identifier

https://dc.etsu.edu/etd/1128

OAI identifier oai:identifier

oai:dc.etsu.edu:etd-2308