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Optimal dosing strategy and sensitivity analysis of a within-host drug resistance model with continuous and impulsive drug treatment

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Abstract

In this work, we investigate the dynamics of the drug-resistance models with the continuous and impulsive drug treatment. Firstly, a mathematical model with the continuous drug treatment is presented. The existence and stability of the boundary and positive equilibria are investigated. At the same time, the optimal dosing strategy is given according to the Pontryagin’s Maximum Principle. Secondly, the impulsive drug treatment is also considered. The stability of the bacteria-free periodic solution and persistance of system are obtained when some conditions are satisfied. The sensitivity analysis is presented to determine the relative importance of different factors responsible for the drug-resistance model. Furthermore, our theoretical results are justified by some numerical simulations.

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Authors and Affiliations

  1. School of Information Science and Technology, Northwest University, Xi’an, 710127, Shaanxi, People’s Republic of China

    Yanfeng Zhao & Yuzheng Dong

  2. School of Mathematics and Statistics, Hubei University for Nationalities, Enshi City, 445000, Hubei, People’s Republic of China

    Jing Jia

  3. School of Mathematics and Statistics, Huanghuai University, Zhumadian, 463000, Henan, People’s Republic of China

    Ke Meng

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  1. Yanfeng Zhao
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  2. Jing Jia
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  4. Ke Meng
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Correspondence to Yuzheng Dong.

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This work is supported by the National Natural Science Foundation of China (No. 12171193).

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Zhao, Y., Jia, J., Dong, Y. et al. Optimal dosing strategy and sensitivity analysis of a within-host drug resistance model with continuous and impulsive drug treatment. J. Appl. Math. Comput. 69, 2277–2293 (2023). https://doi.org/10.1007/s12190-022-01833-9

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  • DOI: https://doi.org/10.1007/s12190-022-01833-9

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