In this paper,we propose a delayed HBV infection model with saturation incidence and adaptive immune response,considering two infection pathways.The model includes five compartments of uninfected hep-atocytes,infected hepatocytes,free HBV virus,CTL immune response,and antibodies.Define five thresholds:infection basic reproductive number Ro,antibody immune reproductive number R1,CTL immune reproductive number R2,CTL immune competition reproductive number R3 and antibody immune competition reproductive number R4.Five kinds of equilibria of the model are obtained.By analyzing the characteristic equations and con-structing suitable Lyapunov functionals and Lasalle invariance principles,the criteria for local and global asymptotic stability of each equilibrium are established.
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