Dynamics of a delayed SEIR epidemic model with pulse vaccination and restricting the infected dispersal
Abstract
In this work, we propose a delayed SEIR epidemic model with pulse vaccination and restricting the infected dispersal. By the stroboscopic map of the discrete dynamical system, we obtain infection-free boundary periodic solution. Further, we prove that the infection-free boundary periodic solution is globally attractive. By the theory on the delay and impulsive differential equation, we prove that the investigated system is permanent. Our results indicate that the time delay, pulse vaccination and impulsive dispersal have influence to the dynamical behaviors of the investigated system.
How to Cite this Article
Jianjun Jiao, Shaohong Cai, Limei Li, Dynamics of a delayed SEIR epidemic model with pulse vaccination and restricting the infected dispersal, Commun. Math. Biol. Neurosci., 2017 (2017), Article ID 18
Copyright © 2017 Jianjun Jiao, Shaohong Cai, Limei Li. 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.