Stability analysis and cauchy matrix of a mathematical model of hepatitis b virus with control on immune system near neighborhood of equilibrium free point

Irina Volinsky; Salvo Danilo Lombardo; Paz Cheredman

doi:10.3390/sym13020166

Stability analysis and cauchy matrix of a mathematical model of hepatitis b virus with control on immune system near neighborhood of equilibrium free point

Irina Volinsky, Salvo Danilo Lombardo, Paz Cheredman

Department of Mathematics

Ariel University

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

Abstract

Mathematical models are useful tools to describe the dynamics of infection and predict the role of possible drug combinations. In this paper, we present an analysis of a hepatitis B virus (HBV) model including cytotoxic T lymphocytes (CTL) and antibody responses, under distributed feedback control, expressed as an integral form to predict the effect of a combination treatment with interleukin-2 (IL-2). The method presented in this paper is based on the symmetry properties of Cauchy matrices C(t, s), which allow us to construct and analyze the stability of corresponding integro-differential systems.

Original language	English
Article number	166
Pages (from-to)	1-12
Number of pages	12
Journal	Symmetry
Volume	13
Issue number	2
DOIs	https://doi.org/10.3390/sym13020166
State	Published - Feb 2021

Keywords

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

All Science Journal Classification (ASJC) codes

Computer Science (miscellaneous)
Chemistry (miscellaneous)
General Mathematics
Physics and Astronomy (miscellaneous)

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10.3390/sym13020166

Cite this

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title = "Stability analysis and cauchy matrix of a mathematical model of hepatitis b virus with control on immune system near neighborhood of equilibrium free point",

abstract = "Mathematical models are useful tools to describe the dynamics of infection and predict the role of possible drug combinations. In this paper, we present an analysis of a hepatitis B virus (HBV) model including cytotoxic T lymphocytes (CTL) and antibody responses, under distributed feedback control, expressed as an integral form to predict the effect of a combination treatment with interleukin-2 (IL-2). The method presented in this paper is based on the symmetry properties of Cauchy matrices C(t, s), which allow us to construct and analyze the stability of corresponding integro-differential systems.",

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

author = "Irina Volinsky and Lombardo, \{Salvo Danilo\} and Paz Cheredman",

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doi = "10.3390/sym13020166",

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T1 - Stability analysis and cauchy matrix of a mathematical model of hepatitis b virus with control on immune system near neighborhood of equilibrium free point

AU - Volinsky, Irina

AU - Lombardo, Salvo Danilo

AU - Cheredman, Paz

PY - 2021/2

Y1 - 2021/2

N2 - Mathematical models are useful tools to describe the dynamics of infection and predict the role of possible drug combinations. In this paper, we present an analysis of a hepatitis B virus (HBV) model including cytotoxic T lymphocytes (CTL) and antibody responses, under distributed feedback control, expressed as an integral form to predict the effect of a combination treatment with interleukin-2 (IL-2). The method presented in this paper is based on the symmetry properties of Cauchy matrices C(t, s), which allow us to construct and analyze the stability of corresponding integro-differential systems.

AB - Mathematical models are useful tools to describe the dynamics of infection and predict the role of possible drug combinations. In this paper, we present an analysis of a hepatitis B virus (HBV) model including cytotoxic T lymphocytes (CTL) and antibody responses, under distributed feedback control, expressed as an integral form to predict the effect of a combination treatment with interleukin-2 (IL-2). The method presented in this paper is based on the symmetry properties of Cauchy matrices C(t, s), which allow us to construct and analyze the stability of corresponding integro-differential systems.

KW - Cauchy matrix

KW - Exponential stability

KW - Feedback control

KW - Functional differential equations

KW - Hepatitis B

KW - Immune system

KW - Integro-differential systems

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VL - 13

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JO - Symmetry

JF - Symmetry

IS - 2

M1 - 166

ER -

Stability analysis and cauchy matrix of a mathematical model of hepatitis b virus with control on immune system near neighborhood of equilibrium free point

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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