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2010•Harbin Ligong Daxue xuebaoOpen access

Stability Analysis of an SEIR Model with Infectious Force in Latent Period and Inflected Period

LI Dong-mei

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Abstract

In this paper,considering an SEIR epidemic model with a general contact rate and have infectious force in latent period and infected period,the conditions to the existence of the disease-free equilibrium and the endemic equilibrium are identified,we obtain the threshold of the disease popularity.This paper proves global asymptotical stability of the disease-free equilibrium and the endemic equilibrium.

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What this paper is about

In this paper,considering an SEIR epidemic model with a general contact rate and have infectious force in latent period and infected period,the conditions to the existence of the disease-free equilibrium and the endemic equilibrium are identified,we obtain the threshold of the disease popularity.This paper proves global asymptotical stability of the disease-free equilibrium and the endemic equilibrium.

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Available abstract

In this paper,considering an SEIR epidemic model with a general contact rate and have infectious force in latent period and infected period,the conditions to the existence of the disease-free equilibrium and the endemic equilibrium are identified,we obtain the threshold of the disease popularity.This paper proves global asymptotical stability of the disease-free equilibrium and the endemic equilibrium.

Key concepts: Period (music), Epidemic model, Stability (learning theory), Infectious disease (medical specialty), Popularity, Econometrics, Mathematics, Disease

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