<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Antibiotic resistance is a significant public health problem. When resistance genes are being carried on plasmids, the spread can be greatly accelerated. In this paper, the transmission of antibiotic resistance in two types of cells is discussed. A mathematical model is established to describe the dynamics of the transmission of plasmids. The effects of different parameters on the stable solution and sensitivity analysis are studied by numerical simulation. The conclusions show that the concentration of antibiotics must reach a certain level to kill the pathogenic bacteria. If the concentration of antibiotics is not high to a certain extent, the treatment becomes ineffective. If the cost of cells carried on plasmids and the rate of resistance plasmids segregation too high, the drug-resistant cells will gradually die out in the system. The rate of horizontal transfer of resistance plasmids is directly related to the spread of drug resistance. With the increase in the horizontal transfer rate of resistance plasmids, cells in the body gradually turn into cells with antibiotic resistance, which causes substantial difficulties in the treatment of diseases.</p>
</abstract>

Antibiotic resistance is a significant public health problem. When resistance genes are being carried on plasmids, the spread can be greatly accelerated. In this paper, the transmission of antibiotic resistance in two types of cells is discussed. A mathematical model is established to describe the dynamics of the transmission of plasmids. The effects of different parameters on the stable solution and sensitivity analysis are studied by numerical simulation. The conclusions show that the concentration of antibiotics must reach a certain level to kill the pathogenic bacteria. If the concentration of antibiotics is not high to a certain extent, the treatment becomes ineffective. If the cost of cells carried on plasmids and the rate of resistance plasmids segregation too high, the drug-resistant cells will gradually die out in the system. The rate of horizontal transfer of resistance plasmids is directly related to the spread of drug resistance. With the increase in the horizontal transfer rate of resistance plasmids, cells in the body gradually turn into cells with antibiotic resistance, which causes substantial difficulties in the treatment of diseases.

A mathematical model of plasmid-carried antibiotic resistance transmission in two types of cells

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

Antibiotic resistance is a significant public health problem. When resistance genes are being carried on plasmids, the spread can be greatly accelerated. In...

A mathematical model of plasmid-carried antibiotic resistance transmission in two types of cells

Published Online: Apr 29, 2022

Page range: 2331 - 2344

Received: Nov 05, 2021

Accepted: Jan 23, 2022

DOI: https://doi.org/10.2478/amns.2021.2.00178

Keywords
antibiotic resistance, plasmids, horizontal gene transfer

© 2023 Leilei Qu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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A mathematical model of plasmid-carried antibiotic resistance transmission in two types of cells

Published Online: Apr 29, 2022

Page range: 2331 - 2344

Received: Nov 05, 2021

Accepted: Jan 23, 2022

DOI: https://doi.org/10.2478/amns.2021.2.00178

Keywordsantibiotic resistance, plasmids, horizontal gene transfer

© 2023 Leilei Qu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Fig. 10

Keywords
antibiotic resistance, plasmids, horizontal gene transfer