利用微观马氏链近似方法研究了社会网络上基于局部信息的行为反应对疾病传播的影响.根据微分方程的稳定性理论,得到了爆发阈值与行为反应参数的依赖关系;结合同质小世界网络上的随机模拟,发现在网络结构不变的情况下个体的行为反应对疾病控制有一定的作用.
The impact of local information based behavioral response on epidemic spreading in social networks is studied by using the microscopic Markov-chain approximation approach. According to the stability theory of differential equations,the relation between the epidemic threshold and the response parameter is obtained. Combining with the stochastic simulations on homogeneous small-world networks,the results suggest that local behavior response is effective in controlling epidemic outbreak.