Deterministic stability and random behavior of a Hepatitis C model

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

PLOS ONE, vol.12, no.7, 2017 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 7
  • Publication Date: 2017
  • Doi Number: 10.1371/journal.pone.0181571
  • Journal Name: PLOS ONE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Karadeniz Technical University Affiliated: Yes

Abstract

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.