Original article: The domain of attraction for the endemic equilibrium of an SIRS epidemic model

Authors:
Zhonghua Zhang;Jianhua Wu;Yaohong Suo;Xinyu Song
Affiliations:
College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi 710062, China and School of Sciences, Xi'an University of Science and Technology, Xi'an 710054, China;College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi 710062, China;School of Sciences, Xi'an University of Science and Technology, Xi'an 710054, China and School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China;College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, Henan, China
Venue:
Mathematics and Computers in Simulation
Year:
2011

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Abstract

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.