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article · Scientific Reports

Mathematical model analysis of effective intervention strategies on transmission dynamics of hepatitis B virus

202320 citationsOpen accessDebre Berhan University

In plain language

Hepatitis B virus remains a severe global health concern, causing around one million deaths annually among hundreds of millions of chronic carriers. To assess control methods, a nonlinear mathematical model was formulated to explore the transmission dynamics of the virus. The framework incorporates key population factors including vaccination programmes, treatment pathways, migration, and diagnostic screening. Mathematical evaluations identified both disease-free and endemic equilibrium states, confirmed their stability, and derived the effective reproduction number using a next-generation matrix approach. Sensitivity analysis highlighted the most critical parameters influencing the sustained presence of the infection. The resulting insights demonstrate that comprehensive population vaccination, universal screening of migrants and exposed individuals, and prompt treatment of both identified exposed cases and chronically infected patients are essential strategies to reduce transmission within communities.

Key takeaways

  • A nonlinear mathematical model was established to analyse hepatitis B transmission by incorporating vaccination, screening, treatment, and migration.
  • System equilibrium points and the effective reproduction number were determined, alongside proofs for local and global stability.
  • Sensitivity indices pinpointed the parameters that most strongly govern the endemicity of the disease.
  • Controlling community spread requires universal vaccination, screening of migrants and exposed persons, and early treatment for exposed and chronic cases.

Why it matters

Hepatitis B affects hundreds of millions of people worldwide and leads to high mortality through chronic infection. By simulating how screening, vaccination, migration, and healthcare therapies interact, mathematical models provide public health decision-makers with quantitative evidence on which combined interventions can most effectively disrupt viral spread across communities.

Commercialisation angle

The model provides early-stage theoretical frameworks that could inform public health planning tools, screening policies, and resource allocation models for healthcare authorities. However, the abstract describes fundamental mathematical analysis rather than software development or clinical trials, indicating that direct commercial or operational applications remain at an early, theoretical stage.

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Abstract

Hepatitis B is one of the world's most common and severe infectious diseases. Worldwide, over 350 million people are currently estimated to be persistent carriers of the hepatitis B virus (HBV), with the death of 1 million people from the chronic stage of HBV infection. In this work, developed a nonlinear mathematical model for the transmission dynamics of HBV. We constructed the mathematical model by considering vaccination, treatment, migration, and screening effects. We calculated both disease-free and endemic equilibrium points for our model. Using the next-generation matrix, an effective reproduction number for the model is calculated. We also proved the asymptotic stability of both local and global asymptotically stability of disease-free and endemic equilibrium points. By calculating the sensitivity indices, the most sensitive parameters that are most likely to affect the disease's endemicity are identified. From the findings of this work, we recommend vaccination of the entire population and screening all the exposed and migrants. Additionally, early treatment of both the exposed class after screening and the chronically infected class is vital to decreasing the transmission of HBV in the community.

Research topics

  • Hepatitis B Virus Studies
  • Hepatitis C virus research
  • Mathematical and Theoretical Epidemiology and Ecology Models

Sustainable Development Goals

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DOI: 10.1038/s41598-023-35815-z

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