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Within-host models of dengue virus transmission with immune response

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Titel: Within-host models of dengue virus transmission with immune response
Autoren: Muthu Poosan, Modak Bikash
Quelle: Computational and Mathematical Biophysics, Vol 11, Iss 1, Pp 177-184 (2023)
Verlagsinformationen: De Gruyter, 2023.
Publikationsjahr: 2023
Bestand: LCC:Biotechnology
LCC:Physics
Schlagwörter: next-generation matrix method, immune response, global stability, lyapunov’s direct method, optimal control, 34d20, 37n25, 49j15, Biotechnology, TP248.13-248.65, Physics, QC1-999
Beschreibung: Dengue fever is an infectious viral fever. The complex behavior of the virus within the body can be explained through mathematical models to understand the virus’s dynamics. We propose two different with-in host models of dengue virus transmission with humoral immune response. The proposed models differ from one another because one of the models assumes that newly formed viruses infect healthy cells again. To understand the dynamics of the proposed models, we perform a comparative study of stability analysis, numerical simulation, and sensitivity analysis. The basic reproduction number (BRN) of the two models is computed using next-generation matrix method. The local stability (l.s) analysis is discussed using the linearization method. The Lyapunov’s direct method is used to check the global stability (g.s) of the models. It has been found that both the equilibrium states for both the models, namely, virus-free equilibrium state and endemic equilibrium state, are globally stable, based on the value of BRN. Results show the influence of immune response on the cell dynamics and virus particles. The virus neutralization rate by antibodies and rate that affects the antibody growth are highly sensitive for the two models. Optimal control is applied to explore the possible control strategies to prevent virus spread in the host system. It is evident from the results that the strategy to administrate antibiotic drugs and home remedies slow down the virus spread in the host.
Publikationsart: article
Dateibeschreibung: electronic resource
Sprache: English
ISSN: 2544-7297
Relation: https://doaj.org/toc/2544-7297
DOI: 10.1515/cmb-2022-0150
Zugangs-URL: https://doaj.org/article/afedddae73fa42cfa5bc95086f9d0faf
Dokumentencode: edsdoj.fedddae73fa42cfa5bc95086f9d0faf
Datenbank: Directory of Open Access Journals
Beschreibung
Abstract:Dengue fever is an infectious viral fever. The complex behavior of the virus within the body can be explained through mathematical models to understand the virus’s dynamics. We propose two different with-in host models of dengue virus transmission with humoral immune response. The proposed models differ from one another because one of the models assumes that newly formed viruses infect healthy cells again. To understand the dynamics of the proposed models, we perform a comparative study of stability analysis, numerical simulation, and sensitivity analysis. The basic reproduction number (BRN) of the two models is computed using next-generation matrix method. The local stability (l.s) analysis is discussed using the linearization method. The Lyapunov’s direct method is used to check the global stability (g.s) of the models. It has been found that both the equilibrium states for both the models, namely, virus-free equilibrium state and endemic equilibrium state, are globally stable, based on the value of BRN. Results show the influence of immune response on the cell dynamics and virus particles. The virus neutralization rate by antibodies and rate that affects the antibody growth are highly sensitive for the two models. Optimal control is applied to explore the possible control strategies to prevent virus spread in the host system. It is evident from the results that the strategy to administrate antibiotic drugs and home remedies slow down the virus spread in the host.
ISSN:25447297
DOI:10.1515/cmb-2022-0150