Work

A New Modeling of Fractional-Order and Sensitivity Analysis for Hepatitis-B Disease with Real Data

Year: 2023

Type: article

Abstract: In this study, we propose new illustrative and effective modeling to point out the behaviors of the Hepatitis-B virus (Hepatitis-B). Not only do we consider the mathematical modeling, equilibria, stabilities, and existence–uniqueness analysis of the model, but also, we make numerical simulations by using the Adams–Bashforth numerical scheme. However, we apply the parameter estimation method to determine our model parameters and find the curve that best fits the model. Additionally, in this study, the stability analysis of the aforementioned model is considered, and also the sensitivity analysis of R0 is examined. The results point out that the order of the fractional derivative has an essential effect on the dynamical process of the constructed model for Hepatitis-B.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract7020165

Authors: Mehmet Yavuz, Fatma Özköse, Muhittin Susam, Mathiyalagan Kalidass

Institutions: Necmettin Erbakan University, Erciyes University, Bharathiar University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $2,002