A non-autonomous epidemic model with time delay and vaccination

作者：Zhang Tailei^*; Liu Junli; Teng Zhidong

来源：Mathematical Methods in the Applied Sciences, 2010, 33(1): 1-11.

DOI：10.1002/mma.1142

• non-autonomous SIRVS epidemic model
• time delay
• threshold
• permanence
• extinction
• vaccination

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.

• 出版日期2010-1-15
• 单位新疆大学; 西安交通大学