Analysis of a diffusive virus infection model with humoral immunity, cell-to-cell transmission and nonlinear incidence

2019 ◽  
Vol 535 ◽  
pp. 122415
Author(s):  
Yantao Luo ◽  
Long Zhang ◽  
Tingting Zheng ◽  
Zhidong Teng
Keyword(s):  
Virus Infection ◽  
Humoral Immunity ◽  
Infection Model ◽  
Nonlinear Incidence ◽  
Cell Transmission ◽  
Virus Infection Model

A Delayed Virus Infection Model with Cell-to-Cell Transmission and CTL Immune Response

2017 ◽  
Vol 27 (10) ◽  
pp. 1750150 ◽  
Author(s):  
Yu Yang ◽  
Tonghua Zhang ◽  
Yancong Xu ◽  
Jinling Zhou
Keyword(s):  
Immune Response ◽  
Time Delay ◽  
Virus Infection ◽  
Multiple Time Scales ◽  
Infection Model ◽  
Multiple Time ◽  
Ctl Response ◽  
Cell Transmission ◽  
Ctl Immune Response ◽  
Virus Infection Model

In this paper, a delayed virus infection model with cell-to-cell transmission and CTL immune response is investigated. In the model, time delay is incorporated into the CTL response. By constructing Lyapunov functionals, global dynamical properties of the two boundary equilibria are established. Our results show that time delay in the CTL response process may lead to sustained oscillation. To further investigate the nature of the oscillation, we apply the method of multiple time scales to calculate the normal form on the center manifold of the model. At the end of the paper, numerical simulations are carried out, which support our theoretical results.

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