A non‐autonomous epidemic model with time delay and vaccination |
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| Authors: | Tailei Zhang Junli Liu Zhidong Teng |
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| Affiliation: | 1. Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China;2. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, People's Republic of China |
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| Abstract: | ![]()
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. Copyright © 2009 John Wiley & Sons, Ltd. |
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| Keywords: | non‐autonomous SIRVS epidemic model time delay threshold permanence extinction vaccination |
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