作者
Kasia A Pawelek, Shengqiang Liu, Faranak Pahlevani, Libin Rong
发表日期
2012/1/1
期刊
Mathematical Biosciences
卷号
235
期号
1
页码范围
98-109
出版商
Elsevier
简介
Mathematical models have made considerable contributions to our understanding of HIV dynamics. Introducing time delays to HIV models usually brings challenges to both mathematical analysis of the models and comparison of model predictions with patient data. In this paper, we incorporate two delays, one the time needed for infected cells to produce virions after viral entry and the other the time needed for the adaptive immune response to emerge to control viral replication, into an HIV-1 model. We begin model analysis with proving the positivity and boundedness of the solutions, local stability of the infection-free and infected steady states, and uniform persistence of the system. By developing a few Lyapunov functionals, we obtain conditions ensuring global stability of the steady states. We also fit the model including two delays to viral load data from 10 patients during primary HIV-1 infection and estimate …
学术搜索中的文章
KA Pawelek, S Liu, F Pahlevani, L Rong - Mathematical Biosciences, 2012