Global analysis of a mathematical model for HIV and Hepatitis C virus co-infection
DOI:
https://doi.org/10.30495/jme.v11i0.482Keywords:
Dynamical systems, Epidemiological models, HIV/AIDS, Sta- bility.Abstract
Hepatitis C is the leading cause of death among individuals infected with human.Here, we present a deterministic model for HCV and HIV infections transmission anduse the model to assess the potential impact of antiviral therapy. The model isbased on the susceptible-infective-removed-susceptible (SIRS) compartmentalstructure with chronic primary infection and possibility of reinfection. Importantepidemiologic thresholds such as the basic and control reproductionnumbers and a measure of treatment impact are derived. We find that ifthe control reproduction number is greater than unity, there is a locally unstableinfection-free equilibrium and a unique, globally asymptotically stableendemic equilibrium. If the control reproduction number is less than unity, theinfection-free equilibrium is globally asymptotically stableDownloads
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