✦ LIBER ✦

Global attractivity and permanence of a SVEIR epidemic model with pulse vaccination and time delay

✍ Scribed by Huiming Wei; Yu Jiang; Xinyu Song; G.H. Su; S.Z. Qiu

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 894 KB
Volume: 229
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.10.046

No coin nor oath required. For personal study only.

✦ Synopsis

In this study, we propose a new SVEIR epidemic disease model with time delay, and analyze the dynamic behavior of the model under pulse vaccination. Pulse vaccination is an effective strategy for the elimination of infectious disease. Using the discrete dynamical system determined by the stroboscopic map, we obtain an 'infection-free' periodic solution. We also show that the 'infection-free' periodic solution is globally attractive when some parameters of the model under appropriate conditions. The permanence of the model is investigated analytically. Our results indicate that a large vaccination rate or a short pulse of vaccination or a long latent period is a sufficient condition for the extinction of the disease.

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