题目：Bifurcations in the modified RM equation: from asymptotic dynamics to transient dynamics
时间：2023.11.22，15:00-18:30
地点：腾讯会议，会议号：530 421 139
摘要：In this talk, we take Rosenzweig-MacArthur (RM) model with generalist predator as an example in a constant or changing environment. When the environment is fixed, we provide a more easily verifiable classification to determine the types and codimension of nilpotent singularities in a general planar system. Second, by using some algebraic methods, we show that the highest codimension of a nilpotent focus is 4 and the sample RM model with generalist predator can exhibit nilpotent focus bifurcation of codimension 4. When the environment is changing, we study the impact of the rate and intensity of a nonlinear environmental change on dynamics. It is based on a joint work with Dr. Min Lu and Professor Hao Wang.
黄继才，华中师范大学教授、博士生导师。2005年获中国科学院数学与系统科学研究院数学所博士学位。主要从事常微分方程定性理论、分支理论及其应用研究。在 JDE、JDDE、SIAP、SIADS、JMB、SAPM、BMB 等期刊发表学术论文五十余篇。
