Systems biology modelling of sirs epidemic spread: Computational cybernetic issues
2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017, Banff, Kanada, 5 - 08 Ekim 2017, cilt.2017-January, ss.912-917, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 2017-January
- Doi Numarası: 10.1109/smc.2017.8122726
- Basıldığı Şehir: Banff
- Basıldığı Ülke: Kanada
- Sayfa Sayıları: ss.912-917
- Anahtar Kelimeler: Dinamic models, Diseases, Domain of attraction, Epidemic disease, Estimation, SIRS models of epidemic diseases
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
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.