报告人：艾尚兵（阿拉巴马大学）

报告题目：捕食者食饵问题中的周期现象

报告摘要：In this talk, we revisit a piecewise smooth fast-slow predator-prey model with Holling type I functional response and predator harvesting, where the harvesting rate is sufficiently small compared to the intrinsic growth rate of prey. The model undergoes two bifurcation mechanisms: (i) singular slow-fast cycle bifurcation, through which the model can have a unique and stable relaxation oscillation or homoclinic orbit; (ii) boundary equilibrium bifurcation, from which a unique and unstable limit cycle occurs. Additionally, we show the coexistence of a large-amplitude relaxation oscillation (or homoclinic orbit) and a small-amplitude limit cycle.

报告时间：2024年6月17日（星期一）10:00-11:30

报告地点：科技楼南715室

邀请人：李骥