On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission

M. M. A. El-Sheikh and S. A. A. El-Marouf

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-17

Abstract:

A four-dimensional SEIR epidemic model is considered. 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.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:321869

DOI: 10.1155/S0161171204310380

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