Persistence of an SEIR model with immigration dependent on the prevalence of infection (Q607914)
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scientific article; zbMATH DE number 5823131
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Persistence of an SEIR model with immigration dependent on the prevalence of infection |
scientific article; zbMATH DE number 5823131 |
Statements
Persistence of an SEIR model with immigration dependent on the prevalence of infection (English)
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6 December 2010
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Summary: We incorporate the immigration of susceptible individuals into an SEIR epidemic model, assuming that the immigration rate decreases as the spread of infection increases. For this model, the basic reproduction number, \(R_{0}\), is found, which determines that the disease is either extinct or persistent ultimately. The obtained results show that the disease becomes extinct as \(R_{0}1\).
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