Title of article
The domain of attraction for the endemic equilibrium of an SIRS epidemic model Original Research Article
Author/Authors
Zhonghua Zhang، نويسنده , , Jianhua Wu، نويسنده , , Yaohong Suo، نويسنده , , Xinyu Song، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
10
From page
1697
To page
1706
Abstract
In this paper, a new method is adopted to construct a Lyapunov function for the endemic equilibrium of the J. Mena-Lorca and H.W. Hothcote’s SIRS epidemic model with bilinear incidence and constant recruitment. On the basis of the Lyapunov function, the domain of the attraction of the endemic equilibrium is estimated by solving an LMI optimization problem with multivariate polynomial objective function and constraints.
Keywords
Epidemic model , Domain of attraction , Stability , LMI optimization , Lyapunov function
Journal title
Mathematics and Computers in Simulation
Serial Year
2011
Journal title
Mathematics and Computers in Simulation
Record number
855113
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