Journal of Biological Systems · 2005 · 14 citations · 4 references
Veterinary MedicineImmunologyInfectious DiseasesHost-pathogen InteractionsImmunology Of Infectious DiseasesInfectious Disease EpidemiologyImmune System ModelingInfectious Disease DynamicsStability TheoryTransmission DynamicsViral HepatitisViral PersistenceEndemic DynamicsEndemic StabilityEpidemic ModelsImmune System InteractionsInfectious Disease ModelsMathematical Modeling Of Viral SpreadStochastic Epidemic ModelsTransmission Dynamics Modeling
This study analyzes a model of hepatitis C with acute infectious, chronic infectious and the recovery or immune classes. Stability characters of disease-free and endemic proportionate equilibrium points are discussed. The role of immune system on the long-term survival of the susceptible population is derived. It has been shown that chronic infected populations persist whenever acute infected class persists and conversely. Lastly, the criterion for robustness of the system is established under stochastic perturbations. Numerical simulations are also performed to validate the results obtained.
4
Hepatitis C Viral Dynamics in Vivo and the Antiviral Efficacy of Interferon-α Therapy
Avidan U. Neumann, Nancy P. Lam, Harel Dahari et al. · Science · 1998 · 2.1K citations
Modeling the Hepatitis C Virus Epidemic in France
Sylvie Deuffic‐Burban, Laurent Buffat, Thierry Poynard et al. · Hepatology · 1999 · 209 citations · Full text