Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection

We present a Caputo fractional order mathematical model that describes the cellular infection of the Hepatitis B virus and the immune response of the body with Holling type II functional response. We study the existence of unique positive solutions and the local and global stability of virus-free an...

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Veröffentlicht in:	Mathematical and computational applications 2023-02, Vol.28 (1), p.24
Hauptverfasser:	Opoku, Michael O, Wiah, Eric N, Okyere, Eric, Sackitey, Albert L, Essel, Emmanuel K, Moore, Stephen E
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Antigens Calculus Caputo derivative Cytokines Cytotoxicity Dynamic stability Equilibrium global stability Health aspects Hepatitis B Immune system Infections Iterative methods Liver local stability Patients predictor–corrector algorithm Stability analysis Ulam–Hyers stability Viruses
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Zusammenfassung:	We present a Caputo fractional order mathematical model that describes the cellular infection of the Hepatitis B virus and the immune response of the body with Holling type II functional response. We study the existence of unique positive solutions and the local and global stability of virus-free and endemic equilibria. Finally, we present numerical results using the Adam-type predictor–corrector iterative scheme.
ISSN:	2297-8747 1300-686X 2297-8747
DOI:	10.3390/mca28010024