Modeling Influence of Raltegravir Intensification on Viral Dynamics: Stability and Hopf Bifurcation

Authors

  • Jiemei Li Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu730070, China 
  • Xiaofei Wei
  • Jianmei Zhang College of Mathematics and Systems Science, Shandong University of Scienceand Technology, Qingdao, Shandong 266590, China 

DOI:

https://doi.org/10.12150/jnma.2020.467

Keywords:

Multi-stage models, Logistic target cell growth, Stability, Hopf bifurcation.

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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Published

2024-04-10

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Issue

Vol. 2 No. 3 (2020)

Section

Articles

How to Cite

Modeling Influence of Raltegravir Intensification on Viral Dynamics: Stability and Hopf Bifurcation. (2024). Journal of Nonlinear Modeling and Analysis, 2(3), 467-483. https://doi.org/10.12150/jnma.2020.467