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Author Spotlight: Advancements and Challenges in Hepatitis B Virus Detection
Published on: December 15, 2023
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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
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.
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.
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