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 R0 is established. The infection-free equilibrium E0 is globally attractive if R0<1, while virus is uniformly persistent if R0>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.