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Global dynamics and computational modeling for analyzing and controlling Hepatitis B: A novel epidemic approach.
Farhan, Muhammad; Shah, Zahir; Ling, Zhi; Shah, Kamal; Abdeljawad, Thabet; Islam, Saeed; Garalleh, Hakim A L.
Afiliação
  • Farhan M; School of Mathematical Science, Yangzhou University, Yangzhou, China.
  • Shah Z; Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Khyber Pakhtunkhwa, Pakistan.
  • Ling Z; Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat, KPK, Pakistan.
  • Shah K; School of Mathematical Science, Yangzhou University, Yangzhou, China.
  • Abdeljawad T; Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia.
  • Islam S; Department of Computer Science and Mathematics Lebanese American University, Byblos, Lebanon.
  • Garalleh HAL; Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia.
PLoS One ; 19(6): e0304375, 2024.
Article em En | MEDLINE | ID: mdl-38935766
ABSTRACT
Hepatitis B virus (HBV) infection is a global public health issue. We offer a comprehensive analysis of the dynamics of HBV, which can be successfully controlled with vaccine and treatment. Hepatitis B virus (HBV) causes a significantly more severe and protracted disease compared to hepatitis A. While it initially presents as an acute disease, in approximately 5 to 10% of cases, it can develop into a chronic disease that causes permanent damage to the liver. The hepatitis B virus can remain active outside the body for at least seven days. If the virus penetrates an individual's body without immunization, it may still result in infection. Upon exposure to HBV, the symptoms often last for a duration ranging from 10 days to 6 months. In this study, we developed a new model for Hepatitis B Virus (HBV) that includes asymptomatic carriers, vaccination, and treatment classes to gain a comprehensive knowledge of HBV dynamics. The basic reproduction number [Formula see text] is calculated to identify future recurrence. The local and global stabilities of the proposed model are evaluated for values of [Formula see text] that are both below and above 1. The Lyapunov function is employed to ensure the global stability of the HBV model. Further, the existence and uniqueness of the proposed model are demonstrated. To look at the solution of the proposed model graphically, we used a useful numerical strategy, such as the non-standard finite difference method, to obtain more thorough numerical findings for the parameters that have a significant impact on disease elimination. In addition, the study of treatment class in the population, we may assess the effectiveness of alternative medicines to treat infected populations can be determined. Numerical simulations and graphical representations are employed to illustrate the implications of our theoretical conclusions.
Assuntos

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Assunto principal: Simulação por Computador / Vírus da Hepatite B / Hepatite B Limite: Humans Idioma: En Ano de publicação: 2024 Tipo de documento: Article

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Assunto principal: Simulação por Computador / Vírus da Hepatite B / Hepatite B Limite: Humans Idioma: En Ano de publicação: 2024 Tipo de documento: Article