A model of drug resistance with infection by health care workers

Avner Friedman; Najat Ziyadi; Khalid Boushaba

doi:10.3934/mbe.2010.7.779

Article Contents

2010, Volume 7, Issue 4: 779-792. Doi: 10.3934/mbe.2010.7.779

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A model of drug resistance with infection by health care workers

1.
The Ohio State University, Department of Mathematics, Columbus, OH 43210
2.
The Ohio State University, Mathematical Biosciences Institute, Columbus, OH 43210
3.
Iowa State University, Department of Mathematics, 482 Carver Hall Ames, IA 50011

Received: February 28, 2010

Revised: June 30, 2010

Published: September 2010

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Abstract

Antibiotic resistant organisms (ARO) pose an increasing serious threat in hospitals. One of the most life threatening ARO is methicillin-resistant staphylococcus aureus (MRSA). In this paper, we introduced a new mathematical model which focuses on the evolution of two bacterial strains, drug-resistant and non-drug resistant, residing within the population of patients and health care workers in a hospital. The model predicts that as soon as drug is administered, the average load of the non-resistant bacteria will decrease and eventually (after 6 weeks of the model's simulation) reach a very low level. However, the average load of drug-resistant bacteria will initially decrease, after treatment, but will later bounce back and remain at a high level. This level can be made lower if larger amount of drug is given or if the contact between health care workers and patients is reduced.

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Mathematics Subject Classification: Primary: 92C60; Secondary: 34B60, 35L65.

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