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Stable Analysis of SEIR Epidemic Model with Constant Recruitment

Fengqin Zhang

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Abstract

We consider an SEIR epidemic model with the general contact rate that susceptible and exposed individuals have constant recruitment.In the model,the latent,infected and recovered period are also infective.The local asymptotical stable results of the epidemic equilibrium is proved by Hurwitz criterion.Furthermore,using the compound matrix theory we obtain sufficient conditions for the global asymptotical stable of the unique endemic equilibrium.

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What this paper is about

We consider an SEIR epidemic model with the general contact rate that susceptible and exposed individuals have constant recruitment.In the model,the latent,infected and recovered period are also infective.The local asymptotical stable results of the epidemic equilibrium is proved by Hurwitz criterion.Furthermore,using the compound matrix theory we obtain sufficient conditions for the global asymptotical stable of the unique endemic equilibrium.

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Available abstract

We consider an SEIR epidemic model with the general contact rate that susceptible and exposed individuals have constant recruitment.In the model,the latent,infected and recovered period are also infective.The local asymptotical stable results of the epidemic equilibrium is proved by Hurwitz criterion.Furthermore,using the compound matrix theory we obtain sufficient conditions for the global asymptotical stable of the unique endemic equilibrium.

Key concepts: Epidemic model, Constant (computer programming), Mathematics, Applied mathematics, Stability (learning theory), Matrix (chemical analysis), Statistics, Econometrics

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