On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission (Q1777822)
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scientific article; zbMATH DE number 2171758
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission |
scientific article; zbMATH DE number 2171758 |
Statements
On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission (English)
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25 May 2005
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The authors consider a four-dimensional SEIR epidemic model. The stability of the equilibria is established. Hopf bifurcation and center manifold theories are applied for a reduced three-dimensional epidemic model. The boundedness, dissipativity, persistence, global stability, and Hopf-Andronov-Poincaré bifurcation for the four-dimensional epidemic model are studied.
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stability
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bifurcation of solution
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SEIR epidemic model
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