中北大学学报（自然科学版）2017，Vol.38Issue(5)：518-523,6.DOI:10.3969/j.issn.1673-3193.2017.05.003
复杂网络上两城市之间疾病传播的建模与分析
Modeling and Analyzing the Disease Propagation Between Two Cities on Complex Networks
摘要
Abstract
In order to find out the effect of different patterns of immigrations and emigrations on the spread of diseases,a susceptible-infected-susceptible (SIS)model of the disease spread between two cit-ies on complex networks was proposed.The existence of the disease free equilibrium was proved and it is globally attractive.Numerical simulations and sensitivity analysis were performed.If R0>1 ,it is ob-served that the short-time traveling between two cities can quickly spread the disease from one city to another.The disease is easier to die out in the city with immigration and emigration if R0<1 ,and the disease spread is slower in the city with immigration and emigration if R0>1 .Moreover,the immigra-tion is sensitive to the basic reproductive number,and the disease can be controlled by means of increas-ing the immigration.关键词
复杂网络/疾病传播模型/基本再生数/敏感性分析Key words
complex networks/disease spread model/basic reproduction number/sensitivity analysis分类
数理科学引用本文复制引用
潘玮,靳祯..复杂网络上两城市之间疾病传播的建模与分析[J].中北大学学报（自然科学版）,2017,38(5):518-523,6.基金项目
国家自然科学基金资助项目(11331009) （11331009）
