An SIR epidemic model with time-varying pulse control schemes and saturated infectious force

作者：He, Yuying; Gao, Shujing^*; Xie, Dehui

来源：Applied Mathematical Modelling, 2013, 37(16-17): 8131-8140.

DOI：10.1016/j.apm.2013.03.035

• Time-varying pulse vaccination
• Time-varying pulse treatment
• Saturation incidence
• Threshold value

Vaccination and treatment policies are two methods used to control the spread of disease. In this paper, we study an SIR epidemic model with time-varying pulse vaccination of the susceptible and time-varying pulse treatment of the infected population. Owing to the seasonal fluctuations in transmission of many disease, we propose the model with periodic saturation incidence. The Threshold value R-0 is established. We demonstrate that the disease dies out for R-0 < 1, whereas it is permanent for R-0 > 1.

• 出版日期2013-9-1
• 单位中国疾病预防控制中心寄生虫病预防控制所; 赣南师范大学; 中国疾病预防控制中心