Global Stability Analysis on the Dynamics of an SIQ Model with Nonlinear Incidence Rate

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Global Stability Analysis on the Dynamics of an SIQ Model with Nonlinear Incidence Rate

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Publication Conference Paper, peer reviewed
Title Global Stability Analysis on the Dynamics of an SIQ Model with Nonlinear Incidence Rate
Author(s) Yang, Xiuxiang ; Li, Feng ; Cheng, Yuanji
Date 2012
Editor(s) Jin, David; Lin, Sally
English abstract
An SIQ epidemic model with isolation and nonlinear incidence rate is studied. We have obtained a threshold value R and shown that there is only a disease free equilibrium point when R < 1, and there is also an endemic equilibrium point if R > 1. With the help of Liapunov function, we have shown that disease free- and endemic equilibrium point is globally stable.
Publisher Springer
Host/Issue Advances in Future Computer and Control Systems;2
Series/Issue Advances in Intelligent and Soft Computing;160
ISSN 1867-5662
ISBN 978-3-642-29389-4
Pages 561-566
Language eng (iso)
Subject(s) SIQ model
Isolation
Nonlinear infectious rate
Threshold
Global stablity
Sciences
Research Subject Categories::MATHEMATICS
Note International Conference on Future Computer and Control Systems(FCCS2012) held April 21-22,2012, in Changsha, China
Handle http://hdl.handle.net/2043/14480 (link to this page)

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