Computation and analysis of optimal disturbances of stationary solutions of the hepatitis B dynamics model
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Michael Yu. Khristichenko
,
Yuri M. Nechepurenko
Abstract
Optimal disturbances of a number of typical stationary solutions of the hepatitis B virus infection dynamics model have been found. Specifically optimal disturbances have been found for stationary solutions corresponding to various forms of the chronic course of the disease, including those corresponding to the regime of low-level virus persistence. The influence of small optimal disturbances of individual groups of variables on the stationary solution is studied. The possibility of transition from stable stationary solutions corresponding to chronic forms of hepatitis B to stable stationary solutions corresponding to the state of functional recovery or a healthy organism using optimal disturbances is studied. Optimal disturbances in this study were constructed on the basis of generalized therapeutic drugs characterized by one-compartment and two-compartment pharmacokinetics.
Funding statement: The work was supported by the Russian Science Foundation (Grant No. 22–11–00025).
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Articles in the same Issue
- Frontmatter
- The Burr distribution as an asymptotic law for extreme order statistics and its application to the analysis of statistical regularities in the interplanetary magnetic field
- Hidden attractors and nonlocal oscillations in gene networks models
- Computation and analysis of optimal disturbances of stationary solutions of the hepatitis B dynamics model
- On the accuracy of shock-capturing schemes when calculating Cauchy problems with periodic discontinuous initial data
- Constructing low-rank Tucker tensor approximations using generalized completion
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Articles in the same Issue
- Frontmatter
- The Burr distribution as an asymptotic law for extreme order statistics and its application to the analysis of statistical regularities in the interplanetary magnetic field
- Hidden attractors and nonlocal oscillations in gene networks models
- Computation and analysis of optimal disturbances of stationary solutions of the hepatitis B dynamics model
- On the accuracy of shock-capturing schemes when calculating Cauchy problems with periodic discontinuous initial data
- Constructing low-rank Tucker tensor approximations using generalized completion
- The Editorial Board of the Journal with deep regret is announcing the death of Prof. Yuri Alekseevich KUZNETSOV aged 79, on January 30, 2024
