Domain of attraction estimation for SIRS epidemic models via sum-of-square optimization
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CitationJing, Y., Chen, X., Li, C., Ojleska, V. M., Dimirovski, G. M. (2011). Domain of attraction estimation for SIRS epidemic models via sum-of-square optimization. In IFAC Proceedings, Volumes, 18(1), (pp. 14289-14294). http://dx.doi.org/10.3182/20110828-6-IT-1002.00947
Estimation of the domain of attraction of a class of susceptible infectious removed susceptible (SIRS) epidemic models for varying-size population with constant immigration is investigated. On assumption that the disease-free equilibrium and the endemic equilibrium exist, the domain of attraction of epidemic model is estimated by using sum-of-squares optimization approach. An invariant subset of domain of attraction is computed and an enlargement obtained. Simulation results, given in a comparison presentation, demonstrate feasibility and validity of the proposed technique as well as reveal that this algorithm outperforms other ones in applications to the epidemic model.