Séminaire de Mathématique-Biologie

Stability Analysis and Transmission Dynamics of HIV-HCV Epidemic Model

by Olukayode Adebimpe (First Technical Univ., Ibadan, Nigeria & IHES)

Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane


Le Bois-Marie 35, route de Chartres 91440 Bures-sur-Yvette

An extensive mathematical model for HIV-HCV co-infection is developed. The positivity and boundedness of the model under investigation is established using well-known theorems. The next generation matrix method is used to construct the basic reproduction number for the model. The local and global stabilities of the model are shown using the linearization and Lyapunov function approaches, respectively. Bifurcation analysis and sensitivity analysis of the model are also presented. The findings from the simulations will be presented accordingly.

Organized by

Christophe Soulé