scholarly journals Global Stability and Hopf Bifurcation for a Virus Dynamics Model with General Incidence Rate and Delayed CTL Immune Response

2021 ◽  
Vol 12 (11) ◽  
pp. 1038-1057
Author(s):  
Abdoul Samba Ndongo
Keyword(s):  
Immune Response ◽  
Hopf Bifurcation ◽  
Global Stability ◽  
Incidence Rate ◽  
Virus Dynamics ◽  
Dynamics Model ◽  
General Incidence Rate ◽  
Ctl Immune Response

LYAPUNOV FUNCTION AND GLOBAL PROPERTIES OF VIRUS DYNAMICS WITH CTL IMMUNE RESPONSE

2008 ◽  
Vol 01 (04) ◽  
pp. 443-448 ◽  
Author(s):  
XIA WANG ◽  
YOUDE TAO
Keyword(s):  
Immune Response ◽  
Lyapunov Function ◽  
Lyapunov Functions ◽  
Disease Model ◽  
Virus Dynamics ◽  
Dynamics Model ◽  
Global Properties ◽  
The Stability ◽  
Ctl Immune Response

The stability of infections disease model with CTL immune response in vivo is considered in this paper. Explicit Lyapunov functions for our dynamics model with CTL immune response with nonlinear incidence of the form βVqTpfor the case q ≤ 1 are introduced, and global properties of the model are thereby established.

Dynamical behavior of a virus dynamics model with CTL immune response

2009 ◽  
Vol 213 (2) ◽  
pp. 329-347 ◽  
Author(s):  
Xueyong Zhou ◽  
Xiangyun Shi ◽  
Zhonghua Zhang ◽  
Xinyu Song
Keyword(s):  
Immune Response ◽  
Dynamical Behavior ◽  
Virus Dynamics ◽  
Dynamics Model ◽  
Ctl Immune Response
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