Effect of Treatment Measures on the Epidemic Dynamics in Small-World Networks

摘要：

A nonlinear epidemic model in small-world networks with time-delay is presented to investigate the effect of treatment strength on the epidemic dynamics. Hopf bifurcation is proved to exist during disease spreading. The existence of chaos in a difference epidemic model is also investigated. It is shown that the treatment strength not only determines the stability of the local equilibrium, but also can be applied to stabilize a periodic spreading behavior or a chaotic spreading behavior onto a stable equilibrium. Furthermore, numerical simulations are also provided to illustrate the effectiveness of the theoretical results.

作者: SUN Yongzheng TANG Maoning LI Wang LIU Maoxing

作者单位: School of Sciences, China University of Mining and Technology, Xuzhou 221008, P.R.China School of Ma Department of Mathematics, Huzhou University, Huzhou 313000, P.R.China School of Sciences, China University of Mining and Technology, Xuzhou 221008, P.R.China Department of Mathematics, North University of, Taiyuan 030051, P.R.China School of Mathematical Sci

会议类型: 国际会议

会议名称: The 30th Chinese Control Conference(第三十届中国控制会议)

会议地点: 烟台

会议语种:英文

页码: 1-6

在线出版日期: 2011-07-01（万方平台首次上网日期，不代表论文的发表时间）