Dynamics of a delayed SEIR epidemic model with pulse vaccination and restricting the infected dispersal

Jianjun Jiao, Shaohong Cai, Limei Li

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.

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Published: 2017-08-11

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, Communications in Mathematical Biology and Neuroscience, Vol 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.

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