Classification and sensitivity analysis of the transmission dynamic of hepatitis B

Tahir Khan1, Il Hyo Jung2, Amir Khan1,3

  • 1Department of Mathematics, University of Malakand, Khyber Pakhtunkhawa, Chakdara Dir Lower, Pakistan.

Insights

Hepatitis B virus (HBV) transmission dynamics were modeled, identifying unvaccinated births, perinatal infections, and contact rates as key risks. This study enhances understanding of HBV spread and informs public health strategies.

Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Virology

Background:

  • Hepatitis B virus (HBV) infection is a significant global health concern.
  • Transmission involves acute, chronic, and asymptomatic carrier stages, with carriers posing a unique transmission risk.
  • Understanding these dynamics is crucial for effective public health interventions.

Purpose of the Study:

  • To assess the transmissibility of hepatitis B across different infection stages.
  • To develop and analyze an epidemic model for hepatitis B transmission.
  • To identify key factors influencing the spread of hepatitis B in the community.

Main Methods:

  • An epidemic model was formulated to simulate hepatitis B transmission.
  • The infectious population was categorized into acute, chronic, and carrier individuals.
  • Both horizontal and vertical transmission routes were incorporated into the model.

Main Results:

  • Numerical simulations and sensitivity analyses were performed.
  • The proportion of unvaccinated births was identified as a major risk factor.
  • Perinatal infections and direct contact rates significantly contribute to hepatitis B spread.

Conclusions:

  • The developed model offers a comprehensive framework for studying hepatitis B dynamics.
  • Findings provide direction for theoretical research and practical control measures.
  • Identifying high-risk factors aids in targeted prevention and intervention strategies.
Abstract