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中文摘要：
复杂网络中不完全免疫包括免疫失败和免疫失效两种情况,本文研究两者同时存在对网络病毒传播行为的影响,基于平均场理论,提出一种新的传播模型.理论分析表明,免疫失败和免疫失效同时存在显著降低了网络的传播临界值,增强了病毒的感染程度.根据传播临界值与免疫节点密度、免疫成功率以及免疫失效率之间的关系,给出有效控制网络病毒传播的策略.通过数值仿真进行验证。
英文摘要：
The imperfect immunization includes immune failure and immune invalidity on complex networks.In this paper,based on mean-field theory,we propose a new susceptible-infected-removed model to study epidemic spreading in networks with both immune failure and immune invalidity.Theoretical analysis shows that the immune failure and immune invalidity can significantly reduce the epidemic threshold and enhance the epidemic prevalence in the networks.According to the relationships between epidemic threshold,immune density of nodes,immune success rate and immune invalid rate,some suggestions on how to effectively control the propagation of epidemics are presented.Numerical simulations have confirmed the theoretical results.
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