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| Modeling Influence of Raltegravir Intensificationon Viral Dynamics: Stability and Hopf Bifurcation |
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| KeyWord:Multi-stage models Logistic target cell growth Stability Hopf
bifurcation |
| Author Name | Affiliation | | Jiemei Li | Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu
730070, China | | Xiaofei Wei | Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu
730070, China | | Jianmei Zhang | College of Mathematics and Systems Science, Shandong University of Science
and Technology, Qingdao, Shandong 266590, China |
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| Abstract: |
| In this paper, we propose an ordinary differential equation model
with logistic target cell growth to describe influence of raltegravir intensifi-
cation on viral dynamics. The basic reproduction number R 0 is established.
The infection-free equilibrium E 0 is globally attractive if R 0 < 1, while virus
is uniformly persistent if R 0 > 0. In addition, we find that Hopf bifurcation
can occur at around the positive equilibrium within certain parameter ranges.
Numerical simulations are performed to illustrate theoretical results. |
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