Stability Analysis of a Mathematical Model of Hepatitis B Virus with Unbounded Memory Control on the Immune System in the Neighborhood of the Equilibrium Free Point
Open Access
Abstract
In the current paper, I research the influence of IL-2 therapy and I introduce the regulation by distributed feedback control with unbounded memory. The results of the stability analysis are presented. The proposed methodology in the article uses the properties of Cauchy matrix , especially symmetry property, in order to study the behavior (stability) of the corresponding system of integro-differential equations.
Keywords
This publication has 19 references indexed in Scilit:
- EASL 2017 Clinical Practice Guidelines on the management of hepatitis B virus infectionJournal of Hepatology, 2017
- Rates of cirrhosis and hepatocellular carcinoma in chronic hepatitis B and the role of surveillanceEuropean Journal of Gastroenterology & Hepatology, 2015
- Stability and Controllability Issues in Mathematical Modeling of the Intensive Treatment of LeukemiaJournal of Optimization Theory and Applications, 2015
- A mathematical model with time-varying delays in the combined treatment of chronic myeloid leukemiaAdvances in Difference Equations, 2012
- Use of quasi-normal form to examine stability of tumor-free equilibrium in a mathematical model of bcg treatment of bladder cancerMathematical Biosciences and Engineering, 2011
- Mathematical Modeling of Cytotoxic Lymphocyte‐Mediated Immune Response to Hepatitis B Virus InfectionBioMed Research International, 2008
- A Multiphase Model of the Dynamics of HBV Infection in Hbeag-Negative Patients during Pegylated Interferon-α2A, Lamivudine and Combination TherapyAntiviral Therapy, 2006
- The global health burden of infection‐associated cancers in the year 2002International Journal of Cancer, 2006
- Hepatitis B Virus Kinetics and Mathematical ModelingSeminars in Liver Disease, 2004
- Viral dynamics in hepatitis B virus infection.Proceedings of the National Academy of Sciences, 1996