2007Shuxue de shijian yu renshiRequires access

Stability of an SEIQ Epidemic Model with the Age of Latent and Isolation

Xuezhi Li

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Abstract

This paper discusses an SEIQ epidemic model with the age of latent and isolation.The explicit formula of the reproductive number R0 is obtained.It is proved that the disease-free equilibrium is global asymptotically stable if R01,it is unstable if R01,in this case,there exists a locally asymptotically endemic equilibrium.

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What this paper is about

This paper discusses an SEIQ epidemic model with the age of latent and isolation.The explicit formula of the reproductive number R0 is obtained.It is proved that the disease-free equilibrium is global asymptotically stable if R01,it is unstable if R01,in this case,there exists a locally asymptotically endemic equilibrium.

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Available abstract

This paper discusses an SEIQ epidemic model with the age of latent and isolation.The explicit formula of the reproductive number R0 is obtained.It is proved that the disease-free equilibrium is global asymptotically stable if R01,it is unstable if R01,in this case,there exists a locally asymptotically endemic equilibrium.

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

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