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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 818401, 10 pages
Research Article

Impulsive Vaccination SEIR Model with Nonlinear Incidence Rate and Time Delay

Department of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, China

Received 12 July 2013; Revised 22 October 2013; Accepted 30 October 2013

Academic Editor: Jun Hu

Copyright © 2013 Dongmei Li et al. 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.


This paper aims to discuss the delay epidemic model with vertical transmission, constant input, and nonlinear incidence. Some sufficient conditions are given to guarantee the existence and global attractiveness of the infection-free periodic solution and the uniform persistence of the addressed model with time delay. Finally, a numerical example is given to demonstrate the effectiveness of the proposed results.