摘要
在经典SIS疾病传播模型的基础上加入了群体密度、传播效率及个体的游动等因素,考察这些因素对疾病传播的影响.理论分析和仿真模拟表明该疾病传播模型存在一个临界值(λd)c,只有当群体传播效率和群体密度的乘积λd大于(λd)c时疾病才能在群体中持续稳定地传播.另外,研究还发现当群体密度不太大的时候个体的游动更有利于疾病的传播,而个体的长程游动又比短程游动更有利于疾病的传播.根据这些研究结果本文最后给出了相应的疾病预防措施.
A SIS(Susceptible-Infected-Susceptible) disease spreading model based on sparsely distributed crowd is proposed. In this model, the effects of crowd-density, spread efficiency and the moving activity of agents on the spreading of disease is researched. The theoretical analyse and analog simulation shows that there is a critical value (λd)c in this model, and only when the product of spread efficiency and crowd density goes beyond (λd)c the disease can spread in crowd continuously and steadily. Besides, the moving of agents can promote the spread of disease at the case of low crowd density. According to these results, the measures are presented to prevent the spread of disease.
出处
《华中师范大学学报(自然科学版)》
CAS
CSCD
2008年第3期385-388,395,共5页
Journal of Central China Normal University:Natural Sciences
基金
贵州省科学技术基金项目(20072004)
关键词
SIS模型
疾病传播
仿真模拟
susceptible-infected-susceptible model
disease spreading
analog simulation