Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period
نویسندگان
چکیده
In this paper, we studied the global dynamics of a SEIR epidemic model in which the latent and immune state were infective. The basic reproductive rate, R0, is derived. If R0 6 1, the disease-free equilibrium is globally stable and the disease always dies out. If R0 > 1, there exists a unique endemic equilibrium which is locally stable. Furthermore, we proved the global stability of the unique endemic equilibrium when a1 = a2 = 0 and the disease persists at an endemic equilibrium state if it initially exists. 2005 Elsevier Ltd. All rights reserved.
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