DYNAMICS ANALYSIS OF AN SEIRS EPIDEMIC MODEL WITH VERTICAL TRANSMISSION IN A PERIODIC ENVIRONMENT

摘要：

In this paper, an SEIRS epidemic model with vertical transmission in a periodic environment is investigated.The basic reproduction number R0 is defined by using of the spectral radius of a linear integral operator.Further, it is proved that R0 is the threshold parameter to judge the extinction or the persistence of the disease.It shows that if R0 < 1, then the disease-free periodic solution is globally asymptotically stable, if R0 > 1, the disease-free periodic solution is unstable and the disease is developed to be persistent.Numerical simulations are carried out to support our theoretical results.

关键词： SEIRS epidemic model Vertical transmission Basic reproduction number Threshold parameter

作者: LIJUN LI SHOUMING ZHONG

作者单位: School of Mathematical Sciences,University of Electronic Science and Technology of China Chengdu,611731 CHINA

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Computer Technology and Development(2011第三届计算机技术与发展国际会议 ICCTD2011)

会议地点: 成都

会议语种:英文

页码: 1637-1642

在线出版日期: 2011-11-25（万方平台首次上网日期，不代表论文的发表时间）