Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection-Reference-Cited by-同舟云学术

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

Published:2023-02-09 Issue:1 Volume:28 Page:24
ISSN:2297-8747
Container-title:Mathematical and Computational Applications
language:en
Short-container-title:MCA

Author:

Opoku Michael O.¹,Wiah Eric N.²^ORCID,Okyere Eric³^ORCID,Sackitey Albert L.⁴,Essel Emmanuel K.⁴,Moore Stephen E.⁴^ORCID

Affiliation:

1. Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX 79968, USA

2. Department of Mathematical Science, University of Mines and Technology, Tarkwa P.O. Box 237, Ghana

3. Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani P.O. Box 214, Ghana

4. Department of Mathematics, University of Cape Coast, Cape Coast P.O. Box 046, Ghana

Abstract

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.

Funder

UNESCO-TWAS and the Swedish International Development Cooperation Agency

Publisher

MDPI AG

Subject

Applied Mathematics,Computational Mathematics,General Engineering

Link

https://www.mdpi.com/2297-8747/28/1/24/pdf

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