Optimal control strategies for preventing hepatitis B infection and reducing chronic liver cirrhosis incidence
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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KeAi Communications Co., Ltd.
2020-01-01
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| Series: | Infectious Disease Modelling |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468042719300466 |
| _version_ | 1797205041498554368 |
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| author | Mst. Shanta Khatun Md. Haider Ali Biswas |
| author_facet | Mst. Shanta Khatun Md. Haider Ali Biswas |
| author_sort | Mst. Shanta Khatun |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T08:44:49Z |
| format | Article |
| id | doaj.art-e4b4d9d94cab418f8dd293ea8bc52f2f |
| institution | Directory Open Access Journal |
| issn | 2468-0427 |
| language | English |
| last_indexed | 2024-04-24T08:44:49Z |
| publishDate | 2020-01-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Infectious Disease Modelling |
| spelling | doaj.art-e4b4d9d94cab418f8dd293ea8bc52f2f2024-04-16T14:17:42ZengKeAi Communications Co., Ltd.Infectious Disease Modelling2468-04272020-01-01591110Optimal control strategies for preventing hepatitis B infection and reducing chronic liver cirrhosis incidenceMst. Shanta Khatun0Md. Haider Ali Biswas1Corresponding author.; Mathematics Discipline, Science Engineering and Technology School, Khulna University, Khulna, 9208, BangladeshMathematics Discipline, Science Engineering and Technology School, Khulna University, Khulna, 9208, BangladeshAdvanced 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.http://www.sciencedirect.com/science/article/pii/S24680427193004662010Primary: 93A30, 49K15, 92D30Secondary: 34A34 |
| spellingShingle | Mst. Shanta Khatun Md. Haider Ali Biswas Optimal control strategies for preventing hepatitis B infection and reducing chronic liver cirrhosis incidence Infectious Disease Modelling 2010 Primary: 93A30, 49K15, 92D30 Secondary: 34A34 |
| title | Optimal control strategies for preventing hepatitis B infection and reducing chronic liver cirrhosis incidence |
| title_full | Optimal control strategies for preventing hepatitis B infection and reducing chronic liver cirrhosis incidence |
| title_fullStr | Optimal control strategies for preventing hepatitis B infection and reducing chronic liver cirrhosis incidence |
| title_full_unstemmed | Optimal control strategies for preventing hepatitis B infection and reducing chronic liver cirrhosis incidence |
| title_short | Optimal control strategies for preventing hepatitis B infection and reducing chronic liver cirrhosis incidence |
| title_sort | optimal control strategies for preventing hepatitis b infection and reducing chronic liver cirrhosis incidence |
| topic | 2010 Primary: 93A30, 49K15, 92D30 Secondary: 34A34 |
| url | http://www.sciencedirect.com/science/article/pii/S2468042719300466 |
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