Department of Mathematics, Faculty of Sciences, YüzüncüYıl University, 65080 Van, Turkey | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 24, Issue 2, 2016, Page 193-199 PDF (683.72 K) | ||||
| DOI: 10.1016/j.joems.2015.02.003 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| Nguyen Huu Khanh | ||||
| College of Natural Sciences, CanTho University, Viet Nam | ||||
| Abstract | ||||
| 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 | ||||
| Keywords | ||||
| Basic reproduction num- ber; Lyapunov functions; Disease free equilibrium; Endemic equilibrium; Global stability | ||||
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