Global stability of an SEIS epidemic model with recruitment and a varying total population size.

This paper considers an SEIS epidemic model that incorporates constant recruitment, disease-caused death and disease latency. The incidence term is of the bilinear mass-action form. It is shown that the global dynamics is completely determined by the basic reproduction number R(0). If R(0)<or=1, the disease-free equilibrium is globally stable and the disease dies out. If R(0)>1, a unique endemic equilibrium is globally stable in the interior of the feasible region and the disease persists at the endemic equilibrium.