We study a new model describing the transmission of influenza virus with disease re-
sistance in human. Mathematical analysis shows that dynamics of the spread is determined by the
basic reproduction number R 0 . If R 0 ≤ 1 , the disease free equilibrium is globally asymptotically stable,
and if R 0 > 1 , the endemic equilibrium is globally asymptotically stable under some conditions.
The change of stability of equilibria is explained by transcritical bifurcation. Lyapunov functional
method and geometric approach are used for proving the global stability of equilibria. A numerical
investigation is carried out to confirm the analytical results. Some effective strategies for eliminating
virus are suggested