Dynamics of Hepatitis C Virus Infection: Mathematical Modeling and Parameter Estimation

DOI10.1051/mmnp/201712503zbMath1385.34037OpenAlexW2763151016WikidataQ56786953 ScholiaQ56786953MaRDI QIDQ4607581

M. Sheek-Hussein, Fathalla A. Rihan, Radouane Yafia, Abdessamad Tridane

Publication date: 14 March 2018

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/201712503

zbMATH Keywords

stabilityparameter estimationfractional calculushepatitis C virusinterferon-\(\alpha\)viral dynamics models

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60) Fractional ordinary differential equations (34A08)

Related Items (9)

Mathematical analysis of a fractional differential model of HBV infection with antibody immune response ⋮ Lyapunov functions for fractional-order systems in biology: methods and applications ⋮ Dynamics of fractional-order delay differential model of prey-predator system with Holling-type III and infection among predators ⋮ THE IMPACT OF NONSINGULAR MEMORY ON THE MATHEMATICAL MODEL OF HEPATITIS C VIRUS ⋮ Observer‐based controller for treatment of hepatitis C infection using fractional order model ⋮ A fractional-order epidemic model with time-delay and nonlinear incidence rate ⋮ A fractional-order model for zika virus infection with multiple delays ⋮ Modeling the Memory and Adaptive Immunity in Viral Infection ⋮ Analysis of a stochastic HBV infection model with delayed immune response

Cites Work

• Analytical approximations for a population growth model with fractional order
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• Generalized Taylor's formula
• Global existence theory and chaos control of fractional differential equations
• Fractional calculus models of complex dynamics in biological tissues
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Modeling hepatitis C virus dynamics: liver regeneration and critical drug efficacy
• Numerical modeling of fractional-order biological systems
• Computational methods for delay parabolic and time-fractional partial differential equations
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