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报告题目： Target reproduction numbers for time-delayed population systems

报告人：王雪莹 教授 （华盛顿州立大学）

报告时间：2026年4月8日9:30-10:30

报告地点：汇星楼514

报告内容：In the field of population dynamics, target reproduction number is a crucial metric that dictates the necessary control efforts for achieving specific prevention, intervention, or control goals. Recently, the concept of the target reproduction number has undergone significant extensions. Lewis et al. (JMB, 2019)presented a general framework of the target reproduction number for nonnegative matrices, and Wang and Zhao (JMB, 2020) further developed it to positive operators on an ordered Banach space. These extensions encompass fundamental metrics like basic reproduction number and type reproduction number, along with other threshold parameters from existing literature, elucidating their roles in population control. In the current paper, we establish the theory of target reproduction number for a large class of compartmental population models with time delay in the case where control is targeted toward either new infection/production or internal evolution/transition. It turns out that the target reproduction number of the original time-delayed population model can be viewed as a basic reproduction number of some modified system. At the end, we apply these analytic results to three epidemic models, which enhances our theoretical understanding and provides valuable insights for effective strategies in population-based interventions and control measures.

报告人简历： Dr.Xueying Wang is a professor in the Department of Mathematics and Statistics at Washington State University whose work focuses on mathematical modeling in biology, including infectious and neuroscience.

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邀请人：袁沛

星光直播

2026年4月7日