Pulse vaccination of an epidemic model with two parallel infectious stages and time delays

作者：Pei Yongzhen^*; Li Shuping; Gao Shujing; Zhong Min

来源：Mathematics and Computers in Simulation, 2017, 142: 51-61.

DOI：10.1016/j.matcom.2017.04.005

• Parallel infectious stages
• Time delay
• Pulse vaccination
• Stability
• Permanence

An epidemic model with two parallel infectious stages and time delays and pulse vaccination is proposed. We introduce four thresholds and further obtain the conditions that the disease will be extinct or not. Corollaries show that under condition that theta > max{theta(1)(*), theta(2)(*)} the disease will fade out, and if theta < min{theta(*)(1), theta(*)(2)}, the disease will be endemic. Our results indicate that a larger pulse vaccination rate will lead to the eradication of a disease. Furthermore, two thresholds R-*(1) and R-*(2) show that the diversity of the contagiousness affects the basic properties of these models. In addition, numerical results indicate that the probability for an infected individual to enter different infective compartments greatly affects two infective compartments.

• 出版日期2017-12
• 单位天津工业大学; 赣南师范大学