Open AccessNew applications related to hepatitis C model
Author(s) -
Nauman Ahmed,
Ali Raza,
Ali Akgül,
Zafar Iqbal,
Muhammad Rafiq,
Muhammad Ozair Ahmad,
Fahd Jarad
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022634
Subject(s) - stability theory , mathematics , stability (learning theory) , state (computer science) , equilibrium point , integer (computer science) , fractal , order (exchange) , pure mathematics , combinatorics , mathematical analysis , computer science , physics , quantum mechanics , economics , algorithm , nonlinear system , machine learning , finance , programming language , differential equation
The main idea of this study is to examine the dynamics of the viral disease, hepatitis C. To this end, the steady states of the hepatitis C virus model are described to investigate the local as well as global stability. It is proved by the standard results that the virus-free equilibrium state is locally asymptotically stable if the value of $ R_0 $ is taken less than unity. Similarly, the virus existing state is locally asymptotically stable if $ R_0 $ is chosen greater than unity. The Routh-Hurwitz criterion is applied to prove the local stability of the system. Further, the disease-free equilibrium state is globally asymptotically stable if $ R_0 < 1 $. The viral disease model is studied after reshaping the integer-order hepatitis C model into the fractal-fractional epidemic illustration. The proposed numerical method attains the fixed points of the model. This fact is described by the simulated graphs. In the end, the conclusion of the manuscript is furnished.