On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission
type: Item
instance of: scholarly article
title: On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission
zbMATH Open document ID: 1077.34044
DOI: 10.1155/S0161171204310380
author: S. A. A. El-Marouf
author: M. M. A. El-Sheikh
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-25T00:00:00Z
full work available at URL: https://eudml.org/doc/51873
review text: 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.
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D23
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 2171758
zbMATH Keywords: stability
zbMATH Keywords: bifurcation of solution
zbMATH Keywords: SEIR epidemic model
reviewed by: Lansun Chen
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2171758