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带有临时链路中断控制方案的动态网络模型中的 SIS 传染病研究。

Investigation of SIS epidemics on dynamic network models with temporary link deactivation control schemes.

机构信息

Interdisciplinary Program in Computational Science and Technology, Seoul National University, Seoul 08826, Korea.

Department of Earth and Environmental Sciences, Seoul National University, Seoul 08826, Korea.

出版信息

Math Biosci Eng. 2022 Apr 19;19(6):6317-6330. doi: 10.3934/mbe.2022295.

Abstract

Mathematical modeling of epidemic diseases is increasingly being used to respond to emerging diseases. Although conditions modeled by SIS dynamics will eventually reach either a disease-free steady-state or an endemic steady state without interventions, it is desirable to eradicate the disease as quickly as possible by introducing a control scheme. Here, we investigate the control methods of epidemic models on dynamic networks with temporary link deactivation. A quick link deactivation mechanism can simulate a community effort to reduce the risk of infection by temporarily avoiding infected neighbors. Once infected individuals recover, the links between the susceptible and recovered are activated. Our study suggests that a control scheme that has been shown ineffective in controlling dynamic network models may yield effective responses for networks with certain types of link dynamics, such as the temporary link deactivation mechanisms. We observe that a faster and more effective eradication could be achieved by updating control schemes frequently.

摘要

传染病的数学建模越来越多地被用于应对新出现的疾病。尽管 SIS 动力学所模拟的情况在没有干预的情况下最终将达到无病稳定状态或地方病稳定状态,但通过引入控制方案,尽快消除疾病是可取的。在这里,我们研究了具有临时链路去活的动态网络上传染病模型的控制方法。快速链路去活机制可以通过暂时避免受感染的邻居来模拟社区减少感染风险的努力。一旦受感染的个体康复,易感者和康复者之间的联系就会被激活。我们的研究表明,对于具有特定链路动力学类型的网络(例如临时链路去活机制),已经证明对控制动态网络模型无效的控制方案可能会产生有效的响应。我们观察到,通过频繁更新控制方案,可以实现更快、更有效的消除。

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