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
Khanh, N. (2016). Department of Mathematics, Faculty of Sciences, YüzüncüYıl University, 65080 Van, Turkey. Journal of the Egyptian Mathematical Society, 24(2), 193-199. doi: 10.1016/j.joems.2015.02.003
MLA
Nguyen Huu Khanh. "Department of Mathematics, Faculty of Sciences, YüzüncüYıl University, 65080 Van, Turkey", Journal of the Egyptian Mathematical Society, 24, 2, 2016, 193-199. doi: 10.1016/j.joems.2015.02.003
HARVARD
Khanh, N. (2016). 'Department of Mathematics, Faculty of Sciences, YüzüncüYıl University, 65080 Van, Turkey', Journal of the Egyptian Mathematical Society, 24(2), pp. 193-199. doi: 10.1016/j.joems.2015.02.003
VANCOUVER
Khanh, N. Department of Mathematics, Faculty of Sciences, YüzüncüYıl University, 65080 Van, Turkey. Journal of the Egyptian Mathematical Society, 2016; 24(2): 193-199. doi: 10.1016/j.joems.2015.02.003
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