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

A. M. Elaiw, A. Alhejelan, M. A. Alghamdi
2013 Discrete Dynamics in Nature and Society  
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
more » ... ability 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.
doi:10.1155/2013/781407 fatcat:b3dqvfweszcfrfywe3xw75rtle