Dynamics of a within-host drug resistance model with impulsive state feedback control
Bacterial resistance poses a major hazard to human health, and is caused by the misuse and overuse of antibiotics. Thus, it is imperative to investigate the optimal dosing strategy to improve the treatment effect. In this study, a mathematical model of antibiotic-induced resistance is presented to i...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023103?viewType=HTML |
| _version_ | 1811175594266722304 |
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| author | Jing Jia Yanfeng Zhao Zhong Zhao Bing Liu Xinyu Song Yuanxian Hui |
| author_facet | Jing Jia Yanfeng Zhao Zhong Zhao Bing Liu Xinyu Song Yuanxian Hui |
| author_sort | Jing Jia |
| collection | DOAJ |
| description | Bacterial resistance poses a major hazard to human health, and is caused by the misuse and overuse of antibiotics. Thus, it is imperative to investigate the optimal dosing strategy to improve the treatment effect. In this study, a mathematical model of antibiotic-induced resistance is presented to improve the antibiotic effectiveness. First, conditions for the global asymptotical stability of the equilibrium without pulsed effect are given according to the Poincaré-Bendixson Theorem. Second, a mathematical model of the dosing strategy with impulsive state feedback control is also formulated to reduce drug resistance to an acceptable level. The existence and stability of the order-1 periodic solution of the system are discussed to obtain the optimal control of antibiotics. Finally, our conclusions are confirmed by means of numerical simulations. |
| first_indexed | 2024-04-10T19:38:14Z |
| format | Article |
| id | doaj.art-eca8328d1c0f489897fefe4c5ddf409d |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-10T19:38:14Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-eca8328d1c0f489897fefe4c5ddf409d2023-01-30T00:57:02ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-01-012022219223110.3934/mbe.2023103Dynamics of a within-host drug resistance model with impulsive state feedback controlJing Jia 0Yanfeng Zhao1Zhong Zhao 2Bing Liu3Xinyu Song4Yuanxian Hui51. School of Mathematics and Statistics, Hubei Minzu University, Enshi, Hubei 445000, China2. School of Information Science and Technology, Northwest University, Xi'an, Shaanxi 710127, China3. School of Mathematics and Statistics, Huanghuai University, Zhumadian, Henan 463000, China4. School of Mathematics and Information Science, Anshan Normal University, Anshan, Liaoning 114007, China3. School of Mathematics and Statistics, Huanghuai University, Zhumadian, Henan 463000, China3. School of Mathematics and Statistics, Huanghuai University, Zhumadian, Henan 463000, ChinaBacterial resistance poses a major hazard to human health, and is caused by the misuse and overuse of antibiotics. Thus, it is imperative to investigate the optimal dosing strategy to improve the treatment effect. In this study, a mathematical model of antibiotic-induced resistance is presented to improve the antibiotic effectiveness. First, conditions for the global asymptotical stability of the equilibrium without pulsed effect are given according to the Poincaré-Bendixson Theorem. Second, a mathematical model of the dosing strategy with impulsive state feedback control is also formulated to reduce drug resistance to an acceptable level. The existence and stability of the order-1 periodic solution of the system are discussed to obtain the optimal control of antibiotics. Finally, our conclusions are confirmed by means of numerical simulations.https://www.aimspress.com/article/doi/10.3934/mbe.2023103?viewType=HTMLpoincaré-bendixson theoremoptimal dosing strategyorder-1 periodic solutionsemi-continuous dynamical system |
| spellingShingle | Jing Jia Yanfeng Zhao Zhong Zhao Bing Liu Xinyu Song Yuanxian Hui Dynamics of a within-host drug resistance model with impulsive state feedback control Mathematical Biosciences and Engineering poincaré-bendixson theorem optimal dosing strategy order-1 periodic solution semi-continuous dynamical system |
| title | Dynamics of a within-host drug resistance model with impulsive state feedback control |
| title_full | Dynamics of a within-host drug resistance model with impulsive state feedback control |
| title_fullStr | Dynamics of a within-host drug resistance model with impulsive state feedback control |
| title_full_unstemmed | Dynamics of a within-host drug resistance model with impulsive state feedback control |
| title_short | Dynamics of a within-host drug resistance model with impulsive state feedback control |
| title_sort | dynamics of a within host drug resistance model with impulsive state feedback control |
| topic | poincaré-bendixson theorem optimal dosing strategy order-1 periodic solution semi-continuous dynamical system |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023103?viewType=HTML |
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