2007Shuxue de shijian yu renshiRequires access

Analysis of an SEIR Epidemic Model with Age of Infection

Ding Feng-xia

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Abstract

An SEIR epidemic model with age of infectionis formulated in this paper.Basic reproductivenumber of this model is obtained.It is proved that the disease free equilibruim E0 is globally asymptotically stableif R01,the endemic equilibrium E1 is locally asymptotically stable if R01.

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An SEIR epidemic model with age of infectionis formulated in this paper.Basic reproductivenumber of this model is obtained.It is proved that the disease free equilibruim E0 is globally asymptotically stableif R01,the endemic equilibrium E1 is locally asymptotically stable if R01.

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Available abstract

An SEIR epidemic model with age of infectionis formulated in this paper.Basic reproductivenumber of this model is obtained.It is proved that the disease free equilibruim E0 is globally asymptotically stableif R01,the endemic equilibrium E1 is locally asymptotically stable if R01.

Key concepts: Epidemic model, Stability theory, Mathematics, Applied mathematics, Epidemic disease, Basic reproduction number, Stability (learning theory), Age structure

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