Structural stability of the hepatitis C model with the proliferation of infected and uninfected hepatocytes
ABSTRACTThe structural stability of the hepatitis C model with the proliferation of infected and uninfected hepatocytes is investigated in this paper. The model is clinically verified to accurately reflect the viral dynamics of hepatitis C. It is demonstrated that the limit transition from the hepat...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Mathematical and Computer Modelling of Dynamical Systems |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/13873954.2024.2304808 |
| _version_ | 1797324508427714560 |
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| author | Z. Navickas R. Marcinkevicius I. Telksniene T. Telksnys M. Ragulskis |
| author_facet | Z. Navickas R. Marcinkevicius I. Telksniene T. Telksnys M. Ragulskis |
| author_sort | Z. Navickas |
| collection | DOAJ |
| description | ABSTRACTThe structural stability of the hepatitis C model with the proliferation of infected and uninfected hepatocytes is investigated in this paper. The model is clinically verified to accurately reflect the viral dynamics of hepatitis C. It is demonstrated that the limit transition from the hepatitis C model to the Riccati system coupled with the diffusive terms leads to the elimination of the quadratic terms. Such a novel effect leads to the introduction of the concept of the deformed order-1 solitary solutions. The generalized operator of differentiation is used to construct the deformed order-1 solitary solutions to the Riccati system coupled with the diffusive terms. Finally, it is demonstrated that the Riccati system coupled with the diffusive terms admits non-deformed order-1 solitary solutions, which proves the structural instability of the hepatitis C model with the proliferation of infected and uninfected hepatocytes. |
| first_indexed | 2024-03-08T05:57:06Z |
| format | Article |
| id | doaj.art-df85fdde5e3a49008c04ed60af938005 |
| institution | Directory Open Access Journal |
| issn | 1387-3954 1744-5051 |
| language | English |
| last_indexed | 2024-03-08T05:57:06Z |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Mathematical and Computer Modelling of Dynamical Systems |
| spelling | doaj.art-df85fdde5e3a49008c04ed60af9380052024-02-05T00:14:46ZengTaylor & Francis GroupMathematical and Computer Modelling of Dynamical Systems1387-39541744-50512024-12-01301517210.1080/13873954.2024.2304808Structural stability of the hepatitis C model with the proliferation of infected and uninfected hepatocytesZ. Navickas0R. Marcinkevicius1I. Telksniene2T. Telksnys3M. Ragulskis4Department of Mathematical Modelling, Kaunas University of Technology, Kaunas, LithuaniaDepartment of Software Engineering, Kaunas University of Technology, Kaunas, LithuaniaDepartment of Mathematical Modelling, Kaunas University of Technology, Kaunas, LithuaniaDepartment of Mathematical Modelling, Kaunas University of Technology, Kaunas, LithuaniaDepartment of Mathematical Modelling, Kaunas University of Technology, Kaunas, LithuaniaABSTRACTThe structural stability of the hepatitis C model with the proliferation of infected and uninfected hepatocytes is investigated in this paper. The model is clinically verified to accurately reflect the viral dynamics of hepatitis C. It is demonstrated that the limit transition from the hepatitis C model to the Riccati system coupled with the diffusive terms leads to the elimination of the quadratic terms. Such a novel effect leads to the introduction of the concept of the deformed order-1 solitary solutions. The generalized operator of differentiation is used to construct the deformed order-1 solitary solutions to the Riccati system coupled with the diffusive terms. Finally, it is demonstrated that the Riccati system coupled with the diffusive terms admits non-deformed order-1 solitary solutions, which proves the structural instability of the hepatitis C model with the proliferation of infected and uninfected hepatocytes.https://www.tandfonline.com/doi/10.1080/13873954.2024.2304808Hepatitis C modelsolitary solutionstructural stability |
| spellingShingle | Z. Navickas R. Marcinkevicius I. Telksniene T. Telksnys M. Ragulskis Structural stability of the hepatitis C model with the proliferation of infected and uninfected hepatocytes Mathematical and Computer Modelling of Dynamical Systems Hepatitis C model solitary solution structural stability |
| title | Structural stability of the hepatitis C model with the proliferation of infected and uninfected hepatocytes |
| title_full | Structural stability of the hepatitis C model with the proliferation of infected and uninfected hepatocytes |
| title_fullStr | Structural stability of the hepatitis C model with the proliferation of infected and uninfected hepatocytes |
| title_full_unstemmed | Structural stability of the hepatitis C model with the proliferation of infected and uninfected hepatocytes |
| title_short | Structural stability of the hepatitis C model with the proliferation of infected and uninfected hepatocytes |
| title_sort | structural stability of the hepatitis c model with the proliferation of infected and uninfected hepatocytes |
| topic | Hepatitis C model solitary solution structural stability |
| url | https://www.tandfonline.com/doi/10.1080/13873954.2024.2304808 |
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