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Global Analysis of an SEIR Epidemic Model with Nonlinear Incidence Rate

Runnian Ma

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Abstract

By assuming that a part of susceptible individuals infected by infectives becomes infectious individuals after a latent period,and the other directly becomes infectives after being infected,an SEIR epidemic model with nonlinear incidence rate was established.It was obtained that the basic reproduction number determining whether the disease becomes endemic.The global stability of the disease-free and endemic equilibria was proved.

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What this paper is about

By assuming that a part of susceptible individuals infected by infectives becomes infectious individuals after a latent period,and the other directly becomes infectives after being infected,an SEIR epidemic model with nonlinear incidence rate was established.It was obtained that the basic reproduction number determining whether the disease becomes endemic.The global stability of the disease-free and endemic equilibria was proved.

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Available abstract

By assuming that a part of susceptible individuals infected by infectives becomes infectious individuals after a latent period,and the other directly becomes infectives after being infected,an SEIR epidemic model with nonlinear incidence rate was established.It was obtained that the basic reproduction number determining whether the disease becomes endemic.The global stability of the disease-free and endemic equilibria was proved.

Key concepts: Basic reproduction number, Epidemic model, Stability (learning theory), Incidence (geometry), Infectious disease (medical specialty), Nonlinear system, Mathematics, Biology

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