报告题目：Whether isolating high-degree nodes in network can reduce the final size of infectious diseases?

报告人：靳祯教授

报告时间：2024年12月20日8：00-10：00

报告地点：数学与统计学院312

邀请单位：福州大学数学与统计学院，离散数学及其应用省部共建教育部重点实验室，福建省应用数学中心（福州大学）

报告摘要：It has been a challenge to formulate network-based control measures on infectious diseases, especially on emerging diseases, due to the complexity of the network topology. Generally, isolating high-degree nodes is one of the intuitive intervention measures. The final size and the epidemic duration are two vital evaluation indices of infectious diseases severity, but the last one has not been explicitly calculated so far in network-based models. Therefore, in this talk, we introduced the effects of two measures of isolating high-degree nodes at different time-complete isolation and incomplete isolation, on these two indices. We applied the reducing-dimension method to convert the mean-field model in networks into an equivalent and simpler low-dimension model, and then calculated the exact expression of the final size and the epidemic duration. We found that, in complete isolation the final size always reduces but there exists an isolation time threshold of the epidemic duration in some cases, before that such a strategy lengthens the epidemic duration, and otherwise shortens that period. In contrast, in incomplete isolation the epidemic duration always increases but there exists an isolation time threshold of the final size, before which, the incomplete isolation reduces the final size, and otherwise increases the final size. This result provides a new insight into controlling infectious diseases in network.

报告人简介：靳祯，山西大学二级教授，博士生导师；现任教育部重点实验室主任，山西大学数学科学学院院长，复杂系统研究所所长；享受国务院政府特殊津贴，教育部新世纪优秀人才资助计划项目获得者；主要从事生物动力系统研究，先后主持国家级项目10余项，其中科技部国家重点研发计划重点专项﹣子课题1项，国家自然科学基金重点项目2项，国家自然科学基金国际交流项目1项。先后获得山西省科学技术奖（自然科学类）一等奖2项，教育部高等学校优秀成果（自然科学类）二等奖1项，山西省科技进步奖（自然科学类）二等奖1项。

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