Yang Yu, Ruan Shigui, Xiao Dongmei
School of Science and Technology, Zhejiang International Studies University, Hangzhou 310012, China.
Math Biosci Eng. 2015 Aug;12(4):859-77. doi: 10.3934/mbe.2015.12.859.
In this paper, we study an age-structured virus dynamics model with Beddington-DeAngelis infection function. An explicit formula for the basic reproductive number R0 of the model is obtained. We investigate the global behavior of the model in terms of R0: if R0 ≤ 1, then the infection-free equilibrium is globally asymptotically stable, whereas if R0 > 1, then the infection equilibrium is globally asymptotically stable. Finally, some special cases, which reduce to some known HIV infection models studied by other researchers, are considered.
在本文中，我们研究了一个具有Beddington-DeAngelis感染函数的年龄结构病毒动力学模型。得到了该模型基本再生数(R_0)的显式公式。我们根据(R_0)研究了该模型的全局行为：如果(R_0\leq1)，则无感染平衡点是全局渐近稳定的，而如果(R_0>1)，则感染平衡点是全局渐近稳定的。最后，考虑了一些特殊情况，这些情况可简化为其他研究人员所研究的一些已知HIV感染模型。
