Deterministic stability and random behavior of a Hepatitis C model

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, var...

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Veröffentlicht in:	PloS one 2017-07, Vol.12 (7), p.e0181571-e0181571
Hauptverfasser:	Merdan, Mehmet, Bekiryazici, Zafer, Kesemen, Tulay, Khaniyev, Tahir
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applied mathematics Biology Biology and Life Sciences Brucellosis Computer and Information Sciences Computer Simulation Confidence intervals Disease transmission Epidemics Evaluation Hepacivirus - immunology Hepacivirus - isolation & purification Hepacivirus - physiology Hepatitis Hepatitis C Hepatitis C - epidemiology Hepatitis C - immunology Hepatitis C - pathology Hepatitis C - therapy Hepatitis C virus Hepatocytes - immunology Hepatocytes - pathology Hepatocytes - virology Humans Immune system Infections Mathematical models Mathematics Medical research Medicine and Health Sciences Models, Biological Models, Immunological Models, Statistical Normal distribution Numerical simulations Ordinary differential equations Patient simulation People and Places Physical Sciences Stability
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Beschreibung
Zusammenfassung:	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.
ISSN:	1932-6203 1932-6203
DOI:	10.1371/journal.pone.0181571