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Mathematical Problems in Engineering, Aerospace and Sciences
June 25-27, 2008
University of Genoa, Italy
Genoa, Italy

Organizers
General Organizer and Chair: Seenith Sivasundaram, USA; Local organizer and Chair: Marcello Sanguineti, Italy

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On the dynamics of a generalized SIQR quarantine epidemiological model
by
Mohamed M. A. El-Sheikh
Department of Mathematics ,Faculty of Sciences,Minufiyia Univrsity ,Shebeen El-Koom ,Egypt

Four dimensional quarantined epidemic model of SIQR type is considered with generalized incidence rate .The equilibria,stability, Hopf bifurcation are studied .Sufficient conditions for such a model to admit a saddle-node bifurcation are given .It is shown that the system may exhibit threshold dynamics depending on quarantine reproduction number.

Key words: Epidemic models ,Quarantine ,Endemic equilibrium, Stability,Hopf bifurcation

AMS subject classifications,primary 92D30

Date received: February 27, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caub-56.