Systems biology modelling of sirs epidemic spread: Computational cybernetic issues
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CitationJing, Y., Dimirovski, G. M., Özen, F., & Bilgin Tükel, D. (2017). Systems biology modelling of sirs epidemic spread: Computational cybernetic issues. In 2017 IEEE International Conference on Systems, Man, and Cybernetics (SMC) (pp. 912-917). Banff, AB, Canada: IEEE. https://doi.org/10.1109/SMC.2017.8122726
The estimation of the domain of attraction of a class of susceptible-infectious-removed-susceptible immigration is investigated. On assumption the disease-free equilibrium and the endemic equilibrium existences, hence a Lyapunov function too, the domain of attraction of the epidemic model is estimated by means of LF-LMI-moment and SOS optimization approaches. An invariant subset of the domain of attraction, along with certain enlargement, has been achieved. 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 epidemic models.