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

• Main Author: Irina Volinsky
• Format: Article
• Language: English
• Published: MDPI AG 2021-08-01
• Series: Symmetry
• Subjects: functional differential equations; exponential stability; Cauchy matrix; integro-differential systems; hepatitis B; feedback control
• Online Access: https://www.mdpi.com/2073-8994/13/8/1437

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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>C</mi><mo>(</mo><mi>t</mi><mo>,</mo><mi>s</mi><mo>)</mo></mrow></semantics></math></inline-formula>, especially symmetry property, in order to study the behavior (stability) of the corresponding system of integro-differential equations.