摘要
媒体报道影响着人们对疾病的防御意识,本文基于无标度网络,针对有出生和死亡的SI模型研究意识对疾病传播的影响。通过分析模型的动力学性态,得到基本再生数R_0,并证明无病平衡点的稳定性以及地方病平衡点的存在性,进一步通过数值模拟验证理论的正确性。
Media reports affect people＇s defense consciousness to the disease. The effect of consciousness on the spread of disease was investigated for SI model with birth and death on scale-free networks. Through the analysis of the dynamics characteristic of model, the basic reproduction numberwas obtained and the stability of disease- free equilibrium and the existence of the endemic equilibrium were proved. Further numerical simulations about the model were conducted to validate these theories.
出处
《贵州大学学报（自然科学版）》
2016年第1期16-22,共7页
Journal of Guizhou University:Natural Sciences
基金
山西省自然科学基金项目资助(2014011005-1)
关键词
媒体报道
无标度网络
传染病模型
基本再生数
平衡点稳定性
media coverage
scale-free networks
epidemic model
reproduction number
equilibrium stability
