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, Canada, 5 - 08 October 2017, vol.2017-January, pp.912-917, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 2017-January
  • Doi Number: 10.1109/smc.2017.8122726
  • City: Banff
  • Country: Canada
  • Page Numbers: pp.912-917
  • Keywords: Dinamic models, Diseases, Domain of attraction, Epidemic disease, Estimation, SIRS models of epidemic diseases
  • Yıldız Technical University Affiliated: Yes

Abstract

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.