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Global dynamics of an hepatitis C virus mathematical cellular model with a logistic term. (English) Zbl 1438.92089

Summary: In this paper, the aim is to analyze the global dynamics of hepatitis C Virus (HCV) cellular mathematical model under therapy with uninfected hepatocytes proliferation. We prove that the solution of the model with positive initial values are global, positive and bounded. In addition, firstly we show that the model is locally asymptotically stable at free virus equilibrium and also at infected equilibrium. Secondly we show that the model is globally asymptotically stable at the free virus equilibrium by using an appropriate Lyapunov function.

MSC:

92D30 Epidemiology
92C60 Medical epidemiology
34D23 Global stability of solutions to ordinary differential equations
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References:

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