期刊
JOURNAL OF BIOLOGICAL DYNAMICS
卷 12, 期 1, 页码 -出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/17513758.2018.1500649
关键词
Mathematical modelling; different phases of hepatitis B; hospitalization; basic reproduction number; sensitivity analysis; stability analysis; numerical simulation
资金
- Higher Education Commission (HEC) of Pakistan [20 - 1983/R, D/HEC/11]
We propose an epidemic model for the transmission of hepatitis B virus along with the classification of different infection phases and hospitalized class. We formulate the model and discuss its basic mathematical properties, e.g. existence, positivity, and biological feasibility. Exploiting the next generation matrix approach, we find the basic reproductive number of the model. Weperform sensitivity analysis to illustrate the effect of various parameters on the transmission of the disease. We investigate stability of the equilibria of the model in terms of the basic reproduction number. Conditions for the stability of the proposed model are obtained using various approaches. Finally, we perform the numerical simulations to discuss sensitivity analysis and to support our analytical work.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据