| Title |
Optimal control of vaccination rate in an epidemiological model of Clostridium difficile transmission
|
|---|---|
| Published in |
Journal of Mathematical Biology, May 2017
|
| DOI | 10.1007/s00285-017-1133-6 |
| Pubmed ID | |
| Authors |
Brittany Stephenson, Cristina Lanzas, Suzanne Lenhart, Judy Day |
| Abstract |
The spore-forming, gram-negative bacteria Clostridium difficile can cause severe intestinal illness. A striking increase in the number of cases of C. difficile infection (CDI) among hospitals has highlighted the need to better understand how to prevent the spread of CDI. In our paper, we modify and update a compartmental model of nosocomial C. difficile transmission to include vaccination. We then apply optimal control theory to determine the time-varying optimal vaccination rate that minimizes a combination of disease prevalence and spread in the hospital population as well as cost, in terms of time and money, associated with vaccination. Various hospital scenarios are considered, such as times of increased antibiotic prescription rate and times of outbreak, to see how such scenarios modify the optimal vaccination rate. By comparing the values of the objective functional with constant vaccination rates to those with time-varying optimal vaccination rates, we illustrate the benefits of time-varying controls. |
X Demographics
The data shown below were collected from the profile of 1 X user who shared this research output. Click here to find out more about how the information was compiled.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 1 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Practitioners (doctors, other healthcare professionals) | 1 | 100% |
Mendeley readers
The data shown below were compiled from readership statistics for 19 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 19 | 100% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Bachelor | 3 | 16% |
| Researcher | 3 | 16% |
| Professor > Associate Professor | 2 | 11% |
| Professor | 2 | 11% |
| Student > Ph. D. Student | 2 | 11% |
| Other | 2 | 11% |
| Unknown | 5 | 26% |
| Readers by discipline | Count | As % |
|---|---|---|
| Mathematics | 5 | 26% |
| Veterinary Science and Veterinary Medicine | 2 | 11% |
| Chemical Engineering | 1 | 5% |
| Nursing and Health Professions | 1 | 5% |
| Immunology and Microbiology | 1 | 5% |
| Other | 4 | 21% |
| Unknown | 5 | 26% |
Attention Score in Context
This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 11 May 2017.
All research outputs
#18,547,867
of 22,971,207 outputs
Outputs from Journal of Mathematical Biology
#447
of 658 outputs
Outputs of similar age
#236,654
of 310,587 outputs
Outputs of similar age from Journal of Mathematical Biology
#12
of 19 outputs
Altmetric has tracked 22,971,207 research outputs across all sources so far. This one is in the 11th percentile – i.e., 11% of other outputs scored the same or lower than it.
So far Altmetric has tracked 658 research outputs from this source. They receive a mean Attention Score of 3.7. This one is in the 17th percentile – i.e., 17% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 310,587 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 12th percentile – i.e., 12% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 19 others from the same source and published within six weeks on either side of this one. This one is in the 26th percentile – i.e., 26% of its contemporaries scored the same or lower than it.