Systems biology modelling of sirs epidemic spread: Computational cybernetic issues

Jing Y., Dimirovski G. M., Tökel D. B., ÖZEN F.

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) identifier

  • 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.