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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 NameAffiliation
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.