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Stability of an Age-structured SEIR Epidemic Model with Infectivity in Latent Period

Xue-Zhi Li, Bin Fang

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Abstract

We study an age-structured SEIR epidemic model with infectivity in the latent period. By using the theory and methods of Differential and Integral Equations, the explicit expression for the basic reproductive number 0R is first derived. It is shown that the disease-free equilibrium is locally and globally asymptotically stable if 0 1R . It is then proved that only one endemic equilibrium exists if 0 1R and its stability conditions are also given.

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What this paper is about

We study an age-structured SEIR epidemic model with infectivity in the latent period. By using the theory and methods of Differential and Integral Equations, the explicit expression for the basic reproductive number 0R is first derived. It is shown that the disease-free equilibrium is locally and globally asymptotically stable if 0 1R . It is then proved that only one endemic equilibrium exists if 0 1R and its stability conditions are also given.

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OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We study an age-structured SEIR epidemic model with infectivity in the latent period. By using the theory and methods of Differential and Integral Equations, the explicit expression for the basic reproductive number 0R is first derived. It is shown that the disease-free equilibrium is locally and globally asymptotically stable if 0 1R . It is then proved that only one endemic equilibrium exists if 0 1R and its stability conditions are also given.

Key concepts: Infectivity, Stability (learning theory), Mathematics, Basic reproduction number, Epidemic model, Applied mathematics, Stability theory, Period (music)

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