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

Irina Volinsky

doi:10.3390/sym13081437

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

Irina Volinsky

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 C(t, s), especially symmetry property, in order to study the behavior (stability) of the corresponding system of integro-differential equations.

Original language	English
Article number	1437
Journal	Symmetry
Volume	13
Issue number	8
DOIs	https://doi.org/10.3390/sym13081437
State	Published - Aug 2021

Keywords

Cauchy matrix
Exponential stability
Feedback control
Functional differential equations
Hepatitis B
Immune system
Integro-differential systems

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10.3390/sym13081437

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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 C(t, s), especially symmetry property, in order to study the behavior (stability) of the corresponding system of integro-differential equations.",

keywords = "Cauchy matrix, Exponential stability, Feedback control, Functional differential equations, Hepatitis B, Immune system, Integro-differential systems",

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KW - Exponential stability

KW - Feedback control

KW - Functional differential equations

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KW - Immune system

KW - Integro-differential systems

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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

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