Analysis of A Delayed SIR Epidemic Model

摘要：

An SIR epidemic model with incubation time and saturated incidence rate is formulated, where the susceptibles are assumed to satisfy the logistic equation and the incidence term is of saturated form with the infective. Threshold quantity R0 is derived which determines whether the disease dies out or remains endemic. If R0 < 1, the disease-free equilibrium is globally asymptotically stable and the disease eventually disappears. If R0 > 1, there will be an endemic and the disease is permanent if it initially exists.

关键词： SIR model time delay global stability permanence

作者: Jin-Zhu Zhang Jian-Jun Wang Tie-Xiong Su Zhen Jin

作者单位: Department of Mathematics Taiyuan Institute of Technology Taiyuan 030008, China Institute of militar Department of Mathematics Taiyuan Institute of Technology Taiyuan 030008, China Institute of military equipment and technologies North University of China Taiyuan 030051, China Department of Mathematics North University of China Taiyuan 030051, China

会议类型: 国际会议

会议名称: International Conference on Computational Aspects of Social Networks(国际社会网络计算会议 CASoN 2010)

会议地点: 太原

会议语种:英文

页码: 192-195

在线出版日期: 2010-09-26（万方平台首次上网日期，不代表论文的发表时间）