scholarly journals Dynamics of a stochastic HBV infection model with cell-to-cell transmission and immune response

2021 ◽  
Vol 18 (1) ◽  
pp. 616-642
Author(s):  
Xiaoqin Wang ◽  
◽  
Yiping Tan ◽  
Yongli Cai ◽  
Kaifa Wang ◽  
...  
Keyword(s):  
Immune Response ◽  
Hbv Infection ◽  
Infection Model ◽  
Cell Transmission

Global Stability and Hopf Bifurcation in a Delayed Viral Infection Model with Cell-to-Cell Transmission and Humoral Immune Response

2019 ◽  
Vol 29 (12) ◽  
pp. 1950161 ◽  
Author(s):  
Jinhu Xu ◽  
Yan Geng ◽  
Suxia Zhang
Keyword(s):  
Immune Response ◽  
Hopf Bifurcation ◽  
Viral Infection ◽  
Humoral Immune Response ◽  
Dynamical Behavior ◽  
Infection Model ◽  
Humoral Immune ◽  
Cell Transmission ◽  
Viral Infection Model ◽  
Intracellular Delays

We have developed a class of viral infection model with cell-to-cell transmission and humoral immune response. The model addresses both immune and intracellular delays. We also constructed Lyapunov functionals to establish the global dynamical properties of the equilibria. Theoretical results indicate that considering only two intracellular delays did not affect the dynamical behavior of the model, but incorporating an immune delay greatly affects the dynamics, i.e. an immune delay may destabilize the immunity-activated equilibrium and lead to Hopf bifurcation, oscillations and stability switches. Our results imply that an immune delay dominates the intracellular delays in the model. We also investigated the direction of the Hopf bifurcation and the stability of the periodic solutions by applying normal form and center manifold theory, and investigated the existence of global Hopf bifurcation by regarding the immune delay as a bifurcation parameter. Numerical simulations are carried out to support the analytical conclusions.

scholarly journals Analysis of a stochastic HBV infection model with delayed immune response

2021 ◽  
Vol 18 (5) ◽  
pp. 5194-5220
Author(s):  
Fathalla A. Rihan ◽  
◽  
Hebatallah J. Alsakaji
Keyword(s):  
Immune Response ◽  
Hbv Infection ◽  
Infection Model
Sign in / Sign up

Export Citation Format

Share Document