Mathematical analysis of multi-target cells and multi-strain age-structured model with two HIV infection routes

2021 ◽  
Author(s):  
Peng Wu ◽  
Hongyong Zhao
Keyword(s):  
Hiv Infection ◽  
Mathematical Analysis ◽  
Target Cells ◽  
Structured Model ◽  
Age Structured ◽  
Age Structured Model

scholarly journals An Age-Structured Model of HIV Latent Infection with Two Transmission Routes: Analysis and Optimal Control

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-22
Author(s):  
Chunyang Qin ◽  
Xia Wang ◽  
Libin Rong
Keyword(s):  
Optimal Control ◽  
Latent Infection ◽  
Dynamical Behavior ◽  
Necessary Condition ◽  
Target Cells ◽  
Uniform Persistence ◽  
Structured Model ◽  
Compact Attractor ◽  
Age Structured ◽  
Age Structured Model

In addition to direct virus infection of target cells, HIV can also be transferred from infected to uninfected cells (cell-to-cell transmission). These two routes might facilitate viral production and the establishment of the latent virus pool, which is considered as a major obstacle to HIV cure. We studied an HIV infection model including the two infection routes and the time since latent infection. The basic reproductive ratio R0 was derived. The existence, positivity, and boundedness of the solution are proved. We investigated the existence of steady states and their stability, which were shown to depend on R0. We established the global asymptotic dynamical behavior by proving the existence of the global compact attractor and uniform persistence of the system and by applying the method of Lyapunov functionals. In the end, we formulated and solved the optimal control problem for the age-structured model. The necessary condition for minimization of the viral level and the cost of drug treatment was obtained, and numerical simulations of various optimal control strategies were performed.

scholarly journals Optimal control of an age-structured model of HIV infection

2012 ◽  
Vol 219 (5) ◽  
pp. 2766-2779 ◽  
Author(s):  
Hee-Dae Kwon ◽  
Jeehyun Lee ◽  
Sung-Dae Yang
Keyword(s):  
Optimal Control ◽  
Hiv Infection ◽  
Structured Model ◽  
Age Structured ◽  
Age Structured Model
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