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2013•Journal of Shanxi Normal UniversityRequires access

Global Dynamics of an SEIR Epidemic Model with Vertical Transmission

MI Xiao-li

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Abstract

In this paper,an SEIR epidemic model that incorporates a latent period,excess death of the infected and a standard incidence is considered.The modify reproduction number θ is identified.If θ≤1,the disease-free equilibrium is globally stable and the disease always dies out;if α=0,θ1,a unique endemic equilibrium is globally asymptotically stable.

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What this paper is about

In this paper,an SEIR epidemic model that incorporates a latent period,excess death of the infected and a standard incidence is considered.The modify reproduction number θ is identified.If θ≤1,the disease-free equilibrium is globally stable and the disease always dies out;if α=0,θ1,a unique endemic equilibrium is globally asymptotically stable.

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Available abstract

In this paper,an SEIR epidemic model that incorporates a latent period,excess death of the infected and a standard incidence is considered.The modify reproduction number θ is identified.If θ≤1,the disease-free equilibrium is globally stable and the disease always dies out;if α=0,θ1,a unique endemic equilibrium is globally asymptotically stable.

Key concepts: Basic reproduction number, Epidemic model, Stability theory, Transmission (telecommunications), Stability (learning theory), Mathematics, Applied mathematics, Mathematical economics

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