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Related Experiment Video

Updated: Aug 2, 2025

Author Spotlight: Advancements and Challenges in Hepatitis B Virus Detection
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Stochastic analysis and control for a delayed Hepatitis B epidemic model.

Jingwen Zhang1, Zhigang Wang1,2, Yan Wang3

  • 1School of Sciences, Hainan University, Haikou, China.

Computer Methods in Biomechanics and Biomedical Engineering
|April 18, 2023
PubMed
Summary

Time delays in hepatitis B virus (HBV) transmission prolong disease duration but can suppress peak infections with vaccination and treatment. Optimal control strategies are crucial for disease extinction.

Keywords:
Hepatitis B epidemic modelStochastic analysisoptimal controltime-delay

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Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Virology

Background:

  • Hepatitis B virus (HBV) poses a significant global health challenge.
  • Disease transmission dynamics are influenced by factors like incubation periods and asymptomatic states.
  • Stochastic fluctuations and time delays are critical in modeling infectious diseases.

Purpose of the Study:

  • To analyze the transmission mechanism of hepatitis B virus (HBV) considering time delays and environmental noise.
  • To investigate disease control strategies, specifically vaccination and treatment.
  • To determine the impact of time delays on disease dynamics and control effectiveness.

Main Methods:

  • Development of a delayed stochastic epidemic model for HBV.
  • Application of stochastic Lyapunov functional theory to ensure model solutions.
  • Derivation of threshold conditions for disease extinction and persistence.
  • Analysis of optimal control strategies in both deterministic and stochastic settings.

Main Results:

  • Established conditions for the existence of a unique global solution for the delayed stochastic model.
  • Identified threshold dynamics governing disease extinction, persistence, and stationary distribution.
  • Demonstrated that time delays prolong disease duration in the unmanaged system.
  • Showed that time delays suppress peak HBV prevalence in the controlled system.

Conclusions:

  • Time delays are a critical factor influencing hepatitis B transmission dynamics.
  • Optimal vaccination and treatment strategies, considering time delays, can accelerate disease extinction.
  • The study provides insights into effective HBV control by deciphering the role of time delays.