This paper considers an SEIS epidemic model with quarantine that incorporates constant recruitment, disease-caused death and disease latency. The incidence term is of the bilinear massaction form. It is shown that the global dynamics are completely determined by the basic reproduction number R₀, that is, if R₀ ≤ 1, then the disease-free equilibrium is globally stable and the disease always dies out, if R₀ ≥ 1, then the unique endemic equilibrium is globally stable in the interior of the feasible region and the disease persists at the endemic equilibrium. The results complement and improve some results of the previous works.

epidemic models, Lyapunov function, global stability, compound matrices.