| Title |
Bifurcation analysis and global dynamics of a mathematical model of antibiotic resistance in hospitals
|
|---|---|
| Published in |
Journal of Mathematical Biology, April 2017
|
| DOI | 10.1007/s00285-017-1128-3 |
| Pubmed ID | |
| Authors |
Xiuli Cen, Zhilan Feng, Yiqiang Zheng, Yulin Zhao |
| Abstract |
Antibiotic-resistant bacteria have posed a grave threat to public health by causing a number of nosocomial infections in hospitals. Mathematical models have been used to study transmission dynamics of antibiotic-resistant bacteria within a hospital and the measures to control antibiotic resistance in nosocomial pathogens. Studies presented in Lipstich et al. (Proc Natl Acad Sci 97(4):1938-1943, 2000) and Lipstich and Bergstrom (Infection control in the ICU environment. Kluwer, Boston, 2002) have provided valuable insights in understanding the transmission of antibiotic-resistant bacteria in a hospital. However, their results are limited to numerical simulations of a few different scenarios without analytical analyses of the models in broader parameter regions that are biologically feasible. Bifurcation analysis and identification of the global stability conditions can be very helpful for assessing interventions that are aimed at limiting nosocomial infections and stemming the spread of antibiotic-resistant bacteria. In this paper we study the global dynamics of the mathematical model of antibiotic resistance in hospitals considered in Lipstich et al. (2000) and Lipstich and Bergstrom (2002). The invasion reproduction number [Formula: see text] of antibiotic-resistant bacteria is derived, and the relationship between [Formula: see text] and two control reproduction numbers of sensitive bacteria and resistant bacteria ([Formula: see text] and [Formula: see text]) is established. More importantly, we prove that a backward bifurcation may occur at [Formula: see text] when the model includes superinfection, which is not mentioned in Lipstich and Bergstrom (2002). More specifically, there exists a new threshold [Formula: see text], such that if [Formula: see text], then the system can have two positive interior equilibria, which leads to an interesting bistable phenomenon. This may have critical implications for controlling the antibiotic-resistance in a hospital. |
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United Kingdom | 1 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 1 | 100% |
Mendeley readers
The data shown below were compiled from readership statistics for 31 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United States | 1 | 3% |
| Unknown | 30 | 97% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Master | 7 | 23% |
| Student > Ph. D. Student | 5 | 16% |
| Researcher | 3 | 10% |
| Student > Bachelor | 2 | 6% |
| Student > Postgraduate | 2 | 6% |
| Other | 4 | 13% |
| Unknown | 8 | 26% |
| Readers by discipline | Count | As % |
|---|---|---|
| Mathematics | 5 | 16% |
| Medicine and Dentistry | 4 | 13% |
| Agricultural and Biological Sciences | 3 | 10% |
| Biochemistry, Genetics and Molecular Biology | 2 | 6% |
| Nursing and Health Professions | 1 | 3% |
| Other | 6 | 19% |
| Unknown | 10 | 32% |
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 12 April 2017.
All research outputs
#20,413,129
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Outputs from Journal of Mathematical Biology
#544
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#270,227
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Outputs of similar age from Journal of Mathematical Biology
#15
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