Optimal Control of Hepatitis B in a sub-Saharan African rural area

作     者：Jean Pierre II KOUENKAM Joseph MBANG Gilbert CHENDJOU Yves EMVUDU Jean Pierre Ⅱ KOUENKAM;Joseph MBANG;Gilbert CHENDJOU;Yves EMVUDU

作者机构：Department of MathematicsFaculty of ScienceUniversity of Yaounde IP.O.Box 812 YaoundeCameroon 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2023年第38卷第4期

页      面：523-544页

核心收录：

学科分类：0711[理学-系统科学] 1004[医学-公共卫生与预防医学(可授医学、理学学位)] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 100401[医学-流行病与卫生统计学] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 10[医学] 

主　　题：hepatitis B virus chronic carriers vaccine treatment Pontryagin 

摘      要：In this paper,we ameliorate the model proposed in[13],by incorporating the influence of hepatitis B e antigen(HBeAg)status of mothers on vertical *** use the improved model to fit reported HBV new infections in the Zhejiang Province of *** to predict the course of the Hepatitis B(HBV)infection in this Chinese area,and in Tokombere,located in sub-Saharan Africa(SSA).Furthermore,we apply optimal control techniques in view to re-examine the effects of the newborn vaccination,the universal vaccination and the treatment of chronic carriers in preventing the HBV *** results show that treatment slightly steps in the optimal strategy,while immunisation is an effective *** the other hand,they indicate that the control measures and immunization programs implemented in Zhejiang Province are ***,they suggest that in SSA,a package of several policies centred on birth dose vaccination should be implemented.