报告题目：Global dynamics of a Holling-II amensalism system with nonlinear growth rate and Allee effect on the first species

报告人：王其如教授（中山大学）

报告地点：腾讯会议 588507906

报告时间：2021年6月28日16：00-18：00

摘要: Of concern is the global dynamics of a two species Holling-II amensalism system with nonlinear growth rate. The existence and stability of trivial equilibrium, semi-trivial equilibria, interior equilibria and infinite singularity are studied. Under different parameters, there exist two stable equilibria which means that this model is not always globally asymptotically stable. Together with the existence of all possible equilibria and their stability, saddle connection and close orbits, we derive some conditions for transcritical bifurcation and saddle-node bifurcation. Furthermore, global dynamics of the model is performed. Next, we incorporate Allee effect on the first species and offer a new analysis of equilibria and bifurcation discussion of the model. Finally, several numerical examples are performed to verify our theoretical results.

报告人简历：王其如，中山大学数学学院教授、博士研究生导师，逸仙学院副院长（主持工作），复杂系统研究中心主任，广东省工业与应用数学学会常务副理事长、党支部书记，广州工业与应用数学学会理事长、党支部书记。从事泛函微分方程和时标动态方程方面的研究，是德国《数学文摘》和美国《数学评论》的评论员等。