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报告题目：Dynamics of the Classical versus the Chemostat Predator-Prey Model with delay
报 告 人：范桂红，美国哥伦布州立大学教授
报告摘要：A discrete delay is included to model the time between the capture of the prey and its conversion to viable biomass in the simplest classical Gause type predator-prey model that has equilibrium dynamics without delay. As the delay increases from zero, the coexistence equilibrium undergoes a supercritical Hopf bifurcation, two saddle-node bifurcations of limit cycles, and a cascade of period doublings, eventually leading to chaos. The resulting periodic orbits and the strange attractor resemble their counterparts for the Mackey-Glass equation. Due to the global stability of the system without delay, these complicated dynamics can be solely attributed to the introduction of the delay. Since many models include predator-prey like interactions as sub-models, this study emphasizes the importance of understanding the implications of overlooking delay in such models on the reliability of the model-based predictions, especially since temperature is known to have an effect on the length of certain delays.
报告人简介：范桂红，应用数学博士，美国哥伦布州立大学数学系正教授。范博士于2009 年从加拿大的麦克马斯特大学获得应用数学博士；历任约克大学博士后（2 年）、亚利桑那州立大学访问教授（2 年）。研究领域：泛函微分方程、生物数学，聚焦时滞系统介导的传染病建模分析，研究病种包含登革热、新冠、西尼罗病、莱姆病传播与防控。在 JDDE（Journal of Differential and Difference Equations）、JDE (Journal of Differential Equations)、JMB (Mathematical Biology), SIAM (Society for Industrial and Applied Mathematics) 等国际知名期刊发表论文 40 篇有余。
报告时间：2026年11月11日（星期三） 10:30-12:30
报告地点：腾讯会议 ID：399-675-773
主办单位：数学与统计学院
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