报告人：黄继才（华中师范大学）

邀请人：李骥

报告时间：2024年5月10日（星期五）10:00-11:30

报告地点：科技楼南楼702室

报告题目：Relaxation oscillation, homoclinic orbit and limit cycles in a piecewise smooth predator-prey model

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.

报告人简介：黄继才，华中师范大学教授，博士生导师。主要从事常微分方程定性理论、分支理论及其应用，几何奇异摄动理论及其应用，非光滑方程及其应用研究。在 JDE、JDDE、SIAP、SIADS、JMB、BMB 等期刊发表学术论文五十余篇。