scholarly journals Global dynamics of a virus infection model with repulsive effect

2017 ◽  
Vol 22 (11) ◽  
pp. 1-15
Author(s):  
Hui li ◽  
◽  
Manjun Ma
Keyword(s):  
Virus Infection ◽  
Infection Model ◽  
Global Dynamics ◽  
Virus Infection Model

scholarly journals Global Dynamics of Virus Infection Model with Antibody Immune Response and Distributed Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
A. M. Elaiw ◽  
A. Alhejelan ◽  
M. A. Alghamdi
Keyword(s):  
Immune Response ◽  
Steady State ◽  
Virus Infection ◽  
Reproduction Number ◽  
Distributed Delays ◽  
Infection Model ◽  
Qualitative Behavior ◽  
Global Dynamics ◽  
Globally Asymptotically Stable ◽  
Virus Infection Model

We present qualitative behavior of virus infection model with antibody immune response. The incidence rate of infection is given by saturation functional response. Two types of distributed delays are incorporated into the model to account for the time delay between the time when uninfected cells are contacted by the virus particle and the time when emission of infectious (matures) virus particles. Using the method of Lyapunov functional, we have established that the global stability of the steady states of the model is determined by two threshold numbers, the basic reproduction numberR0and antibody immune response reproduction numberR1. We have proven that ifR0≤1, then the uninfected steady state is globally asymptotically stable (GAS), ifR1≤1<R0, then the infected steady state without antibody immune response is GAS, and ifR1>1, then the infected steady state with antibody immune response is GAS.

scholarly journals Discrete virus infection model of hepatitis B virus

2015 ◽  
Vol 26 (s1) ◽  
pp. S2187-S2195 ◽  
Author(s):  
Pengfei Zhang ◽  
Lequan Min ◽  
Jianwei Pian
Keyword(s):  
Hepatitis B Virus ◽  
Virus Infection ◽  
Hepatitis B ◽  
Infection Model ◽  
B Virus ◽  
Virus Infection Model
Sign in / Sign up

Export Citation Format

Share Document