Abstract
We consider a deterministic model of Methicillin-resistant Staphylococcus aureus infections in hospitals with seasonal oscillations of the antibiotic prescription rate. The model compartments consist of uncolonized patients with or without antibiotic exposure, colonized patients with or without antibiotic exposure, uncontaminated or contaminated healthcare workers, and free-living bacteria in the environment. We apply optimal control theory to this seven-compartment periodic system of ordinary differential equations to reduce the number of colonized patients and density of bacteria in the environment while minimizing the cost associated with environmental cleaning and antibiotic use in a particular time period. Characterizations of optimal control strategies are formulated and the ways hospitals should adjust these strategies for different scenarios are discussed. Numerical simulations strongly suggest that environmental cleaning is essential in the control of MRSA infections and antibiotic usage is suggested to be maintained at the least possible level. Screening, isolating, and shortening the extremely lengthened stays of colonized patients with antibiotic use history are all effective intervention strategies.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 13-30 |
| Number of pages | 18 |
| Journal | Mathematical Biosciences |
| Volume | 311 |
| DOIs | |
| State | Published - May 1 2019 |
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Keywords
- Antibiotic prescription rate
- Environmental cleaning
- Epidemiological model
- Methicillin-resistant Staphylococcus aureus (MRSA)
- Optimal control
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Agricultural and Biological Sciences(all)
- Applied Mathematics
Cite this
Optimal control of environmental cleaning and antibiotic prescription in an epidemiological model of methicillin-resistant Staphylococcus aureus infections in hospitals. / Huang, Qimin; Huo, Xi; Ruan, Shigui.
In: Mathematical Biosciences, Vol. 311, 01.05.2019, p. 13-30.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Optimal control of environmental cleaning and antibiotic prescription in an epidemiological model of methicillin-resistant Staphylococcus aureus infections in hospitals
AU - Huang, Qimin
AU - Huo, Xi
AU - Ruan, Shigui
PY - 2019/5/1
Y1 - 2019/5/1
N2 - We consider a deterministic model of Methicillin-resistant Staphylococcus aureus infections in hospitals with seasonal oscillations of the antibiotic prescription rate. The model compartments consist of uncolonized patients with or without antibiotic exposure, colonized patients with or without antibiotic exposure, uncontaminated or contaminated healthcare workers, and free-living bacteria in the environment. We apply optimal control theory to this seven-compartment periodic system of ordinary differential equations to reduce the number of colonized patients and density of bacteria in the environment while minimizing the cost associated with environmental cleaning and antibiotic use in a particular time period. Characterizations of optimal control strategies are formulated and the ways hospitals should adjust these strategies for different scenarios are discussed. Numerical simulations strongly suggest that environmental cleaning is essential in the control of MRSA infections and antibiotic usage is suggested to be maintained at the least possible level. Screening, isolating, and shortening the extremely lengthened stays of colonized patients with antibiotic use history are all effective intervention strategies.
AB - We consider a deterministic model of Methicillin-resistant Staphylococcus aureus infections in hospitals with seasonal oscillations of the antibiotic prescription rate. The model compartments consist of uncolonized patients with or without antibiotic exposure, colonized patients with or without antibiotic exposure, uncontaminated or contaminated healthcare workers, and free-living bacteria in the environment. We apply optimal control theory to this seven-compartment periodic system of ordinary differential equations to reduce the number of colonized patients and density of bacteria in the environment while minimizing the cost associated with environmental cleaning and antibiotic use in a particular time period. Characterizations of optimal control strategies are formulated and the ways hospitals should adjust these strategies for different scenarios are discussed. Numerical simulations strongly suggest that environmental cleaning is essential in the control of MRSA infections and antibiotic usage is suggested to be maintained at the least possible level. Screening, isolating, and shortening the extremely lengthened stays of colonized patients with antibiotic use history are all effective intervention strategies.
KW - Antibiotic prescription rate
KW - Environmental cleaning
KW - Epidemiological model
KW - Methicillin-resistant Staphylococcus aureus (MRSA)
KW - Optimal control
UR - http://www.scopus.com/inward/record.url?scp=85062610548&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85062610548&partnerID=8YFLogxK
U2 - 10.1016/j.mbs.2019.01.013
DO - 10.1016/j.mbs.2019.01.013
M3 - Article
C2 - 30849408
AN - SCOPUS:85062610548
VL - 311
SP - 13
EP - 30
JO - Mathematical Biosciences
JF - Mathematical Biosciences
SN - 0025-5564
ER -