A mathematical model is proposed to study the transmission dynamics of hepatitis B virus(HBV) treated with impulsive releasing immune factor.Using the impulsive differential inequality and comparative theorem,the authors investigate the existence of infection-free periodic solution of the impulsive HBV system,the sufficient conditions for the global asymptotic stability of the infection-free periodic solution and for the permanence of HBV. Analysis results indicate that a short releasing period of the immune factor or a proper pulse releasing quantity leads to the eradication of the HBV.
|Pages (from-to)||149 - 162|
|Number of pages||14|
|Journal||Chinese Journal of Contemporary Mathematics|
|Publication status||Published - 2011|