Modeling the effect of antibiotic exposure on the transmission of methicillin-resistant Staphylococcus aureus in hospitals with environmental contamination

Qimin Huang, Mary Ann Horn, Shigui Ruan

Research output: Contribution to journalArticle

Abstract

In this paper both deterministic and stochastic models are developed to explore the roles that antibiotic exposure and environmental contamination play in the spread of antibiotic-resistant bacteria, such as methicillin-resistant Staphylococcus aureus (MRSA), in hospitals. Uncolonized patients without or with antibiotic exposure, colonized patients without or with antibiotic exposure, uncontaminated or contaminated healthcare workers, and free-living bacteria are included in the models. Under the assumption that there is no admission of the colonized patients, the basic reproduction number R 0 is calculated. It is shown that when R 0 < 1, the infection-free equilibrium is globally asymptotically stable; when R 0 > 1, the infection is uniformly persistent. Numerical simulations and sensitivity analysis show that environmental cleaning is a critical intervention, and hospitals should use antibiotics properly and as little as possible. The rapid and efficient treatment of colonized patients, especially those with antibiotic exposure, is key in controlling MRSA infections. Screening and isolating colonized patients at admission, and improving compliance with hand hygiene are also important control strategies.

Original languageEnglish (US)
Pages (from-to)3641-3673
Number of pages33
JournalMathematical Biosciences and Engineering
Volume16
Issue number5
DOIs
StatePublished - Jan 1 2019

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Antibiotics
Methicillin-Resistant Staphylococcus aureus
Contamination
pollution
antibiotics
Anti-Bacterial Agents
Modeling
Infection
Patient Admission
Bacteria
Basic Reproduction Number
infection
Hand Hygiene
Basic Reproduction number
Globally Asymptotically Stable
bacteria
Environmental Exposure
Cleaning
Deterministic Model
Stochastic models

Keywords

  • Antibiotic exposure
  • Basic reproduction number
  • Deterministic and stochastic models
  • Environmental contamination
  • Methicillin-resistant Staphylococcus aureus
  • Persistence

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences(all)
  • Computational Mathematics
  • Applied Mathematics

Cite this

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title = "Modeling the effect of antibiotic exposure on the transmission of methicillin-resistant Staphylococcus aureus in hospitals with environmental contamination",
abstract = "In this paper both deterministic and stochastic models are developed to explore the roles that antibiotic exposure and environmental contamination play in the spread of antibiotic-resistant bacteria, such as methicillin-resistant Staphylococcus aureus (MRSA), in hospitals. Uncolonized patients without or with antibiotic exposure, colonized patients without or with antibiotic exposure, uncontaminated or contaminated healthcare workers, and free-living bacteria are included in the models. Under the assumption that there is no admission of the colonized patients, the basic reproduction number R 0 is calculated. It is shown that when R 0 < 1, the infection-free equilibrium is globally asymptotically stable; when R 0 > 1, the infection is uniformly persistent. Numerical simulations and sensitivity analysis show that environmental cleaning is a critical intervention, and hospitals should use antibiotics properly and as little as possible. The rapid and efficient treatment of colonized patients, especially those with antibiotic exposure, is key in controlling MRSA infections. Screening and isolating colonized patients at admission, and improving compliance with hand hygiene are also important control strategies.",
keywords = "Antibiotic exposure, Basic reproduction number, Deterministic and stochastic models, Environmental contamination, Methicillin-resistant Staphylococcus aureus, Persistence",
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AU - Ruan, Shigui

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N2 - In this paper both deterministic and stochastic models are developed to explore the roles that antibiotic exposure and environmental contamination play in the spread of antibiotic-resistant bacteria, such as methicillin-resistant Staphylococcus aureus (MRSA), in hospitals. Uncolonized patients without or with antibiotic exposure, colonized patients without or with antibiotic exposure, uncontaminated or contaminated healthcare workers, and free-living bacteria are included in the models. Under the assumption that there is no admission of the colonized patients, the basic reproduction number R 0 is calculated. It is shown that when R 0 < 1, the infection-free equilibrium is globally asymptotically stable; when R 0 > 1, the infection is uniformly persistent. Numerical simulations and sensitivity analysis show that environmental cleaning is a critical intervention, and hospitals should use antibiotics properly and as little as possible. The rapid and efficient treatment of colonized patients, especially those with antibiotic exposure, is key in controlling MRSA infections. Screening and isolating colonized patients at admission, and improving compliance with hand hygiene are also important control strategies.

AB - In this paper both deterministic and stochastic models are developed to explore the roles that antibiotic exposure and environmental contamination play in the spread of antibiotic-resistant bacteria, such as methicillin-resistant Staphylococcus aureus (MRSA), in hospitals. Uncolonized patients without or with antibiotic exposure, colonized patients without or with antibiotic exposure, uncontaminated or contaminated healthcare workers, and free-living bacteria are included in the models. Under the assumption that there is no admission of the colonized patients, the basic reproduction number R 0 is calculated. It is shown that when R 0 < 1, the infection-free equilibrium is globally asymptotically stable; when R 0 > 1, the infection is uniformly persistent. Numerical simulations and sensitivity analysis show that environmental cleaning is a critical intervention, and hospitals should use antibiotics properly and as little as possible. The rapid and efficient treatment of colonized patients, especially those with antibiotic exposure, is key in controlling MRSA infections. Screening and isolating colonized patients at admission, and improving compliance with hand hygiene are also important control strategies.

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