Abstract
We study a new model describing the dynamics of both Oseltamivir resistant and non- resistant Influenza virus. Incorporated in the model is oseltamivir drug for the non- resistant strain and nalidixic acid or dorzolomide drugs for the resistant strain. The basic reproduction ratios R0 are determined using the next generation matrix. The local and global asymptotic stability of the disease free equilibrium are determined and shown to only exist if R01≤1 and R02≤1. Local and global asymptotic stability of the endemic equilibria exist if R01>1 and R02>1. Lyapunov function was used to show the global stabilities.
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