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Global stability of a virus dynamics model with cure rate and absorption
Institution:1. Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco;2. Centre Régional des Métiers de l’Education et de la Formation (CRMEF), Derb Ghalef, Casablanca, Morocco
Abstract:In this paper, we investigate a mathematical model which takes account the cure of infected cells and the loss of viral particles due to the absorption into uninfected cells. The global stability of the model is determined by using the direct Lyapunov method for disease-free equilibrium, and the geometrical approach for chronic infection equilibrium.
Keywords:Virus dynamics  Compound matrices  Global stability  34D20  34D23  37N25  92D30
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