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Stability of an Age-structured MSEIS Epidemic Model with Recovery both in Latent Period and in Infectious Period

Xuezhi Li

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Abstract

An age-structured MSEIS epidemic model with recovery both in latent period and in infectious period is studied.By using the theory and methods in differential and integral equation,the explicit expression of the basic reproductive number R0 was first obtained,it is showed that the disease-free equilibrium is locally and globally asymptotically stable if R01,at least one endemic equilibrium exists if R01,the stability conditions of the endemic equilibrium are also given.

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An age-structured MSEIS epidemic model with recovery both in latent period and in infectious period is studied.By using the theory and methods in differential and integral equation,the explicit expression of the basic reproductive number R0 was first obtained,it is showed that the disease-free equilibrium is locally and globally asymptotically stable if R01,at least one endemic equilibrium exists if R01,the stability conditions of the endemic equilibrium are also given.

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Available abstract

An age-structured MSEIS epidemic model with recovery both in latent period and in infectious period is studied.By using the theory and methods in differential and integral equation,the explicit expression of the basic reproductive number R0 was first obtained,it is showed that the disease-free equilibrium is locally and globally asymptotically stable if R01,at least one endemic equilibrium exists if R01,the stability conditions of the endemic equilibrium are also given.

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

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