## 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 dynamica
A non-autonomous epidemic model with time delay and vaccination
✍ Scribed by Tailei Zhang; Junli Liu; Zhidong Teng
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 176 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1142
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✦ Synopsis
In this paper, a non-autonomous SIRVS epidemic model with time delay and vaccination is investigated. We assume that the vaccinated have a constant immunity period. Some new threshold conditions are obtained. These threshold conditions govern the extinction and permanence of the disease. When the model degenerates into the periodic or autonomous case, the corresponding basic reproduction number can be derived from these threshold conditions.
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In [1], there was a typographical error in the entries of the off-diagonal elements of the matrix A(t), starting on the line before Equation ( 15). The purpose of this current note is to correct this mistake and propose a direction for future work. Choose W 1 , W 2 > 0 such that W 2 = W 1 e -h I \*