Deterministic stability and random behavior of a Hepatitis C model

MERDAN M., Bekiryazici Z., KESEMEN T., Khanlyev T.

PLOS ONE, cilt.12, sa.7, 2017 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 7
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1371/journal.pone.0181571
  • Dergi Adı: PLOS ONE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

The deterministic stability of a model of Hepatitis C which includes a term defining the effect of immune system is studied on both local and global scales. Random effect is added to the model to investigate the random behavior of the model. The numerical characteristics such as the expectation, variance and confidence interval are calculated for random effects with two different distributions from the results of numerical simulations. In addition, the compliance of the random behavior of the model and the deterministic stability results is examined.