What is it about?

Hepatitis B infection that leads to chronic stage can be life threatening to human, for prevention it is necessary to conduct treatment and vaccination. Conducting treatment and vaccination are controls variables that will be applied to the dynamic modelling of Hepatitis B using Pontryagin Minimum Principle. The present paper will describe model formulation of Hepatitis B, analyzing direction of the equilibrium, Disease Free Equilibrium (DFE) and Endemic Equilibrium (EE), which can be done by determining dimensionless number of R0 (Basic Reproduction Number). Furthermore we use Pontryagin Minimum Principle to find optimal solution of the control. The purpose of optimal control is to minimize the number of acute and chronic infected population and values (cost) of vaccination and treatment. Numerical calculations also performed to illustrate the graph. REFERENCES

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Why is it important?

This article is to show how the infected population of Hepatitis B can be controlled in certain amount of time using Pontryagin Minimum Principle Method

Perspectives

I Hope this article makes people have a better depiction about Hepatitis B dynamic modeling and how to apply optimal control in the model to reduce the infected individuals

Mr Dhimas Mahardika
Universitas Diponegoro

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This page is a summary of: Dynamic modelling of Hepatitis B and use of optimal control to reduce the infected population and minimizing the cost of vaccination and treatment, January 2021, American Institute of Physics,
DOI: 10.1063/5.0041590.
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