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Parameter estimation and global sensitivity analysis of a bacterial-plasmid model with impulsive drug treatment

Author

Listed:
  • Jia, Jing
  • Zhao, Zhong
  • Yang, Jingen
  • Zeb, Anwar

Abstract

In this paper, a mathematical model is developed to study bacterial resistance caused by plasmids and mutations in the presence of the impulsive drug treatment. Firstly, the stability of the bacterial-plasmid extinction periodic solution is proved by Floquet theory and the permanence of system is presented while some conditions are satisfied. Secondly, the nontrivial periodic solution bifurcated from the bacterial-plasmid extinction periodic solution is obtained in view of the four-dimensional impulsive control of bifurcation method. Good fitting results are given by the Mean Absolute Percentage Error method for four different cases of bacterial media. Further, the global sensitivity of R0 is analyzed by the Partial Rank Correlation Coefficient method, and the parameters that have important influence on the system are determined. Finally, numerical simulations are performed to validate the accuracy of the theoretical findings.

Suggested Citation

  • Jia, Jing & Zhao, Zhong & Yang, Jingen & Zeb, Anwar, 2024. "Parameter estimation and global sensitivity analysis of a bacterial-plasmid model with impulsive drug treatment," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    • Handle: RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924004533
    DOI: 10.1016/j.chaos.2024.114901
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    References listed on IDEAS

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    1. Tanita Wein & Nils F. Hülter & Itzhak Mizrahi & Tal Dagan, 2019. "Emergence of plasmid stability under non-selective conditions maintains antibiotic resistance," Nature Communications, Nature, vol. 10(1), pages 1-13, December.
    2. Tian, Yuan & Li, Chunxue & Liu, Jing, 2023. "Complex dynamics and optimal harvesting strategy of competitive harvesting models with interval-valued imprecise parameters," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
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