Analysis of an initial value problem for an extracellular and intracellular model of hepatitis C virus infection

DOI10.1142/S1793524522500413zbMath1497.92059arXiv2011.06085OpenAlexW3100437235MaRDI QIDQ5094568

Patrick Steve Kamdem Simo, Alan D. Rendall, Brice Kammegne Tcheugam, Alexis Nangue

Publication date: 3 August 2022

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.06085

zbMATH Keywords

HCVLyapunov functionsuniform persistence\(\omega\)-limit setLasalle's invariance principleextracellular and intracellular modelLi-muldowney global stability criterion

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Pathology, pathophysiology (92C32)

Related Items (1)

Phenomenology of an in-host model of hepatitis C

Cites Work

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• Understanding hepatitis C viral dynamics with direct-acting antiviral agents due to the interplay between intracellular replication and cellular infection dynamics
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Rich dynamics of a hepatitis B viral infection model with logistic hepatocyte growth
• Global dynamics of a viral infection model with full logistic terms and antivirus treatments
• A Geometric Approach to Global-Stability Problems

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