A study on vaccination models for a seasonal epidemic process

作者：Canto B^*; Coll C; Sanchez E

来源：Applied Mathematics and Computation, 2014, 243: 152-160.

DOI：10.1016/j.amc.2014.05.104

• Periodic discrete-time system
• M-matrix
• Seasonality
• Epidemic process
• Basic reproduction number
• Vaccination

In this paper seasonal epidemiological processes are considered and a strategy of periodic vaccination is proposed. The invariant formulations associated with an N-periodic system and the reproduction numbers associated with them are considered. A collection of measures to study the stability of the system is introduced. Moreover, the collection of s-basic reproduction number at time j help us to establish conditions on the periodic vaccination rates in the vaccination program. Finally, an SIR model is showed and a comparison between the results obtained using constant or periodic vaccination program is analyzed.

• 出版日期2014-9-15