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Analysis of a Mathematical model of HCV transmission among injecting drug users

Y. Tabit, N. Yousfi, K. Hattaf

Abstract


This paper considers a mathematical model describing and modeling the transmission of Hepatitis C Virus(HCV) infection among injecting drug users.We prove that the global dynamics are completely determined by the basic reproduction number R0. If R0 leq 1, the disease-free equilibrium is globally stable and the disease always dies out. If R0 gr. 1, a
unique endemic equilibrium exists and is globally stable and the disease persists in the host population. Finally, we give some numerical simulation to illustrate our results.

Keywords


HCV model, Basic reproduction ratio, Lyapunov functions, Stability.

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