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 recr uitment, disease-caused death and disease latency. The incidence term is of the bilinear mass-action form. It is shown that the global dynamics is com pletely determined by the basic reproduction number R-0. If R-0 less than o r equal to 1, the disease-free equilibrium is globally stable and the disea se 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 endemi c equilibrium. (C) 2001 Elsevier Science Inc. All rights reserved.