ArticleInfectious Disease Modelling2020
Optimal control strategies for preventing hepatitis B infection and reducing chronic liver cirrhosis incidence.
Article in Infectious Disease Modelling, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed, 28 citations in OpenAlex.
- Effects of exercise and nutrition in improving sarcopenia in liver cirrhosis patients: a systematic review and meta-analysis.Hepatobiliary surgery and nutrition · 2025Article
- Article
- Global dynamics and computational modeling for analyzing and controlling Hepatitis B: A novel epidemic approach.PloS one · 2024Article
- Computational analysis of control of hepatitis B virus disease through vaccination and treatment strategies.PloS one · 2023Article
- Fractional order differential equations for chronic liver cirrhosis with frequent hospitalization.BMC research notes · 2022Article
- Mathematical modeling of the spread of the COVID'19 with optimal control strategies.Procedia computer science · 2022Article
- Modeling the dispersal effect to reduce the infection of COVID-19 in Bangladesh.Sensors international · 2020Article
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Advanced liver cirrhosis has become life-threatening among non-communicable diseases nowadays. Cirrhosis, the terminal stage of liver diseases in which the liver develops scarring as a result of various long-term continuous damages. Among liver diseases, viral hepatitis is the major risk factor for chronic cirrhosis development. The present paper demonstrates a compartmental model of chronic disease liver cirrhosis describing the transmission dynamics of this disease. Applying the Pontryagin's maximum principle, the optimal control policies such as vaccination for hepatitis B virus and treatment of other causes of cirrhosis are adopted as control measures. The target of this study is to minimize the number of infected and liver cirrhotic individuals as well as the associated cost of the control. For this purpose, the optimal control strategies are employed according to the underlying causes behind this disease. Our goal is to find the strategy of preventing hepatitis B infection which is considered one of the leading causes of cirrhosis and consequently, reduction of the chronic cirrhosis incidence. Efficiency analysis is also performed to observe the effective control among the two control strategies. The model is investigated both analytically and numerically and the numerical simulations are carried out to illustrate the analytical findings. The analysis reveals that both the vaccination and treatment could be the most fruitful way to reduce the incidence of chronic liver cirrhosis.
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