2014•Journal of Lanzhou University of Arts and ScienceRequires access

Stability Analysis of a SEIR Epidemic Model with Vertical Transmission

LI Yan-pen

Abstract

In this paper,a SEIR epidemic model that incorporates a latent period,excess death of the infected and a bilinear incidence rates is discussed.The basic reproductive number is obtained.when R0 ≤1,the system exists disease free equilibrium point,which is local asymptotical stable;when R01, the system has a unique endemic equilibrium,which is local asymptotical stable.

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Key concepts: Epidemic model, Basic reproduction number, Stability (learning theory), Equilibrium point, Transmission (telecommunications), Mathematics, Bilinear interpolation, Statistics