TY - JOUR
T1 - Modeling Influence of Raltegravir Intensification on Viral Dynamics: Stability and Hopf Bifurcation
AU - Li , Jiemei
AU - Wei , Xiaofei
AU - Zhang , Jianmei
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 467
EP - 483
PY - 2021
DA - 2021/04
SN - 2
DO - http://doi.org/10.12150/jnma.2020.467
UR - https://global-sci.org/intro/article_detail/jnma/18822.html
KW - Multi-stage models, Logistic target cell growth, Stability, Hopf
bifurcation.
AB - <p style="text-align: justify;">In this paper, we propose an ordinary differential equation model with logistic target cell growth to describe influence of raltegravir intensification on viral dynamics. The basic reproduction number $R_0$ is established. The infection-free equilibrium $E_0$ is globally attractive if $R_0 &lt; 1$, while virus is uniformly persistent if $R_0 &gt; 1$. 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.</p>