数统学院讲座预告

报告承办单位:数学与统计学院

报告题目:Complex dynamics of a Leslie-Gower predator-preymodel with Crowley-Martin functional response

报告摘要:In this talk, by employing qualitative and quantitative analysis, we provide a thorough investigation of a Leslie-Gower predator-prey model with the Crowley-Martin functional response. Qualitatively, we rigorously analyze the existence of positive equilibria (at most three) and their local stability. We also discuss Hopf bifurcation and the existence of periodic solutions. Then, based on the qualitative results obtained, we conduct quantitative analysis by changing the value of one parameter continuously with the values of the other parameters being fixed in six sets. In one set, it is found that there are eleven different types of dynamical properties. The findings show that the model can have two coexisting periodic solutions and experience a series of bifurcation phenomena including the saddle-node bifurcation of equilibria,supercritical and subcritical Hopf bifurcations, homoclinic bifurcation, and the saddle-node bifurcation of nonconstant periodic solutions.

报告人姓名:陈玉明(Yuming Chen)

报告人所在单位:Wilfrid Laurier University

报告人职称:教授

报告时间:2025年5月30日（星期五）下午14:00--16:00

报告地点:理科楼A419

报告人简介：陈玉明，分别于1991年和1994年从北京大学获应用数学学士学位和硕士学位，并于2000年从加拿大约克大学获理学博士学位，2000年9月至2001年6月在加拿大阿尔伯塔大学做博士后。从2001年7月起，一直任教于加拿大罗瑞尔大学。现为该校数学系教授、博士生导师。主要研究兴趣为动力系统和泛函微分方程理论及其在生物数学和神经网络中的应用。已在包括SIAM Journal on Mathematical Analysis,Transactions of the American Mathematical Society, Nonlinearity, Journal of Differential Equations, PhysicaD-Nonlinear Phenomena,Mathematical Biosciences, Neural Networks等国际著名刊物发表论文一百三十余篇，其成果被同行广泛引用，曾获安大略省科技与创新部早期研究者奖。主持了5项加拿大国家自然科学与工程理事会(NSERC)科研基金项目。陈教授与中国学者有广泛交流与合作。