Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
Copyright © 2012 Hai-Feng Huo and Li-Xiang Feng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
An epidemic model with incomplete treatment and vaccination for the newborns and susceptibles
is constructed. We establish that the global dynamics are completely determined by the basic
reproduction number . If , then the disease-free equilibrium is globally asymptotically
stable. If , the endemic equilibrium is globally asymptotically stable. Some numerical
simulations are also given to explain our conclusions.