Epidemic dynamics model with delay and impulsive vaccination control base on variable population
✍ Scribed by Zhihui Yang; Hanmei Jia
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 174 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1481
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✦ Synopsis
Communicated by G. Ding
Pulse vaccination is an effective strategy for the elimination of infectious diseases. In this paper, we considered an SEIR epidemic model with delay and impulsive vaccination direct at a variable population and analyzed its dynamic behaviors. Using the discrete dynamical system determined by the stroboscopic map, we obtain the exact infection-free periodic solution of the impulsive epidemic system, further, prove that the infection-free periodic solution is globally attractive if the vaccination rate is larger than  or the length of latent period of disease is larger than or the length of period of impulsive vaccination is smaller than T . We also prove that a short latent period of the disease (with / or a long period of pulsing (with T / or a small pulse vaccination rate (with Â/ is sufficient to bring about the disease is uniformly persistent.