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
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On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission
scientific article; zbMATH DE number 2171758

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    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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