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This presentation considers a class of viral infection models with two type discrete delays,one of which represents an intracellular latent period for the contacted target cells with viruses to begin producing virions,the other of which represents a time delay needed in cytotoxic T cells(CTLs)immune response before immune becomes effective after the invasion by a nov el pathogen.By constructing Lyapunov functionals we investigate the global stability of the equilibria.