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Details for article 1 of 7 found articles
| Title: |
An impulsive delayed SEIRS epidemic model with saturation incidence |
| Author: |
Zhang, Tailei Teng, Zhidong |
| Appeared in: |
Journal of biological dynamics |
| Paging: | Volume 2 (2008) nr. 1 pages 64-84 |
| Year: |
2008-01 |
| Contents: |
A delayed SEIRS epidemic model with pulse vaccination and saturation incidence rate is investigated. Using Krasnoselskii's fixed-point theorem, we obtain the existence of infection-free periodic solution of the impulsive delayed epidemic system. We define some new threshold values [image omitted] , [image omitted] and [image omitted] . Further, using the comparison theorem, we obtain the explicit formulae of [image omitted] and [image omitted] . Under the condition [image omitted] , the infection-free periodic solution is globally attractive, and that [image omitted] implies that the disease is permanent. Theoretical results show that the disease will be extinct if the vaccination rate is larger than θ* and the disease is uniformly persistent if the vaccination rate is less than θ*. Our results indicate that a long latent period of the disease or a large pulse vaccination rate will lead to eradication of the disease. Moreover, we prove that the disease will be permanent as [image omitted] . |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 1 of 7 found articles
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