The SIRS infectious model with a general periodic vaccination strategy and birth pulse

摘要：

In this paper, an SIRS infectious model with a general periodic vaccination strategy and birth pulse is developed. Furthermore, a general periodic vaccination to the susceptible is considered. Using the discrete dynamical system determined by stroboscopic map, we obtain the exact cycle of system in the absence of the infection. Also we obtain the existence and local stability of periodic infection-free solution. The basic reproduction number R0 is defined. Using the compared theory we prove the periodic infection-free solution is globally stable when R0 < 1. Furthermore, we find that the disease is uniformly weak-persistent when R0 > 1.

关键词： SIRS epidemic model general periodic vaccination birth pulse infection-free periodic solution local asymptotical stability global asymptotical stability uniform weak-persistence

作者: Wenjun Cao Yiqing Zhang

作者单位: Wenjun Cao Yiqing Zhang

会议类型: 国际会议

会议名称: The 2010 International Conference on Computer Application and System Modeling(2010计算机应用与系统建模国际会议 ICCASM 2010)

会议地点: 太原

会议语种:英文

页码: 191-195

在线出版日期: 2010-10-22（万方平台首次上网日期，不代表论文的发表时间）