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 language | English (US) |
|---|---|
| Pages (from-to) | 3641-3673 |
| Number of pages | 33 |
| Journal | Mathematical Biosciences and Engineering |
| Volume | 16 |
| Issue number | 5 |
| DOIs | |
| State | Published - Jan 1 2019 |
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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
Modeling the effect of antibiotic exposure on the transmission of methicillin-resistant Staphylococcus aureus in hospitals with environmental contamination. / Huang, Qimin; Horn, Mary Ann; Ruan, Shigui.
In: Mathematical Biosciences and Engineering, Vol. 16, No. 5, 01.01.2019, p. 3641-3673.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Modeling the effect of antibiotic exposure on the transmission of methicillin-resistant Staphylococcus aureus in hospitals with environmental contamination
AU - Huang, Qimin
AU - Horn, Mary Ann
AU - Ruan, Shigui
PY - 2019/1/1
Y1 - 2019/1/1
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.
KW - Antibiotic exposure
KW - Basic reproduction number
KW - Deterministic and stochastic models
KW - Environmental contamination
KW - Methicillin-resistant Staphylococcus aureus
KW - Persistence
UR - http://www.scopus.com/inward/record.url?scp=85064901383&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85064901383&partnerID=8YFLogxK
U2 - 10.3934/mbe.2019181
DO - 10.3934/mbe.2019181
M3 - Article
C2 - 31499630
AN - SCOPUS:85064901383
VL - 16
SP - 3641
EP - 3673
JO - Mathematical Biosciences and Engineering
JF - Mathematical Biosciences and Engineering
SN - 1547-1063
IS - 5
ER -