Year: 2020
Author: Jiemei Li, Xiaofei Wei, Jianmei Zhang
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 3 : pp. 467–483
Abstract
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 $R_0 < 1$, while virus is uniformly persistent if $R_0 > 1$. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.467
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 3 : pp. 467–483
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Multi-stage models Logistic target cell growth Stability Hopf bifurcation.