Optimal control strategies for preventing hepatitis B infection and reducing chronic liver cirrhosis incidence
作者机构：Mathematics DisciplineScience Engineering and Technology SchoolKhulna UniversityKhulna9208Bangladesh
出 版 物：《Infectious Disease Modelling》 (传染病建模（英文）)
年 卷 期：2020年第5卷第1期
页 面：91-110页
学科分类：1004[医学-公共卫生与预防医学(可授医学、理学学位)] 100401[医学-流行病与卫生统计学] 10[医学]
主 题：Liver cirrhosis Hepatitis B infection Vaccination and treatment Optimal control Maximum principle Efficiency analysis
摘 要：Advanced liver cirrhosis has become life-threatening among non-communicable diseases ***,the terminal stage of liver diseases in which the liver develops scarring as a result of various long-term continuous *** liver diseases,viral hepatitis is the major risk factor for chronic cirrhosis *** present paper demonstrates a compartmental model of chronic disease liver cirrhosis describing the transmission dynamics of this *** 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 *** target of this study is to minimize the number of infected and liver cirrhotic individuals as well as the associated cost of the *** this purpose,the optimal control strategies are employed according to the underlying causes behind this *** 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 *** analysis is also performed to observe the effective control among the two control *** model is investigated both analytically and numerically and the numerical simulations are carried out to illustrate the analytical *** 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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