Physical sciences, Landmark University, Omu Aran, Kwara State, Nigeria.
Physical Sciences, Landmark University, Omu Aran, Kwara, Nigeria.
F1000Res. 2021 Sep 17;10:936. doi: 10.12688/f1000research.72865.1. eCollection 2021.
Despite the intervention of WHO on vaccination for reducing the spread of Hepatitis B Virus (HBV), there are records of the high prevalence of HBV in some regions. In this paper, a mathematical model was formulated to analyze the acquisition and transmission process of the virus with the view of identifying the possible way of reducing the menace and mitigating the risk of the virus. The models' positivity and boundedness were demonstrated using well-known theorems. Equating the differential equations to zero demonstrates the equilibria of the solutions i.e., the disease-free and endemic equilibrium. The next Generation Matrix method was used to compute the basic reproduction number for the models. Local and global stabilities of the models were shown via linearization and Lyapunov function methods respectively. The importance of testing and treatment on the dynamics of HBV were fully discussed in this paper. It was discovered that testing at the acute stage of the virus and chronic unaware state helps in better management of the virus.
尽管世界卫生组织（WHO）采取了接种疫苗的干预措施，以减少乙型肝炎病毒（HBV）的传播，但仍有一些地区 HBV 高发的记录。本文建立了一个数学模型，分析病毒的获取和传播过程，以期找到降低危害和减轻病毒风险的可能途径。利用著名的定理证明了模型的正定性和有界性。将微分方程等于零证明了解的平衡点，即无病平衡点和地方病平衡点。利用下一代矩阵方法计算了模型的基本再生数。通过线性化和李雅普诺夫函数方法分别显示了模型的局部和全局稳定性。本文充分讨论了检测和治疗对 HBV 动力学的重要性。研究发现，在病毒急性阶段和慢性无症状状态下进行检测有助于更好地管理病毒。
