复杂网络中的弱化免疫策略分析

Analysis of weakened immunization strategy on complex network

针对免疫策略在病毒免疫时会删除网络结构级联边从而出现削弱网络连通效率的问题,提出一种含权网络特定的病毒弱化免疫策略方法。该方法通过构建SI病毒传播模型,给出该模型的病毒感染密度演化公式。理论分析表明:病毒传播率与网络结构的异化性有密切关系,节点度的大小会影响病毒传播的效果,同时弱化免疫策略能衰减连边权值降低传播率,达到遏制病毒传播保留网络连通效率的目的。计算机仿真结果验证了理论模型的可行性和弱化免疫的合理性。最后,将弱化免疫策略应用到局域世界以及目标免疫策略中,更进一步说明了弱化免疫策略能有效控制病毒传播速度。

In this paper, a specific epidemic weakened immunization strategy for the weighted network was studied based on that the classical immunization behaviors proposed in the current epidemic spreading study would cut off edges connected on the network structures when immunizing the epidemics, and result in the reduction of the network efficiency. The Susceptible- Infective （S1） model of epidemic spreading was constructed under which the evolution equation of density of infected nodes was deduced. Theoretical analysis indicates that the epidemic spreading rate is closely related to network heterogeneity, and the size of nodes＇ degree and network efficiency will influence epidemic spreading. Meanwhile, the weakened immunization strategy achieves the purpose of limiting the epidemic spreading rate and reserves the necessary network efficiency via weakening the weight value of edges therefore decreasing the spreading speed. Computer simulation results verify the feasibility of theoretical model and the rationality of weakened immunization strategy. Finally, the weakened immunization strategy was effectively applied to the local world and target immunization on controlling epidemic spreading.