Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period

Guihua Li and Zhen Jin

Chaos, Solitons & Fractals, 2005, vol. 25, issue 5, 1177-1184

Abstract: 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⩽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 α1=α2=0 and the disease persists at an endemic equilibrium state if it initially exists.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:25:y:2005:i:5:p:1177-1184

DOI: 10.1016/j.chaos.2004.11.062

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