应学院邀请,兰州理工大学孟新友教授将在线为我校师生作学术报告。
报告题目:Bifurcation analysis of predator-prey system with fear effect and prey refuge
报告摘要:In this talk, we consider a Beddington-DeAngelis predator -prey model with fear effect and refuge. For a multiple delayed predator-prey system with fear effect, prey refuge and Crowley-Martin function, we discuss the stability switching properties of such system whose coefficient depends on the delay by extending the crossing curve methods. For a Beddington-DeAngelis predator-prey model with fear effect and refuge, we obtain various of bifurcations, which include not only different bifurcations of co-dimension one, such as, saddle-node bifurcation, transcritical bifurcation and Hopf bifurcation, but also bifurcation of co-dimensional two---Bogdanov-Taken bifurcation. We also design a hybrid control strategy to control Hopf bifurcation according to the state feedback control method. Finally, some numerical simulations are carried out to confirm our theoretical results. This is a joint work with Ziwei Liang and Jiaoguo Wang.
报告时间:2024年12月6日下午14:00
报告地点:腾讯会议(会议号:688-465-462)
报告人简介
孟新友,博士,兰州理工大学教授,博士生导师。现任理学院副院长。甘肃省创新创业教育教学名师,甘肃省一流课程《数学模型与数学实验》负责人。研究方向为生物数学中多种群系统、生态传染病系统、分支与控制等,在国内外杂志已发表学术论文40余篇,其中SCI/EI收录30余篇。主持完成国家自然科学基金项目1项和省自然科学基金项目2项,主持在研国家自然科学基金1项,参加省部级基金项目8项。任教育部学位与研究生教育发展中心学位评审专家,甘肃省科技厅入库专家。美国《数学评论》评论员,Nonlinear Dyn.,Int. J. Bifurcat. Chaos, Int. J. Biomath.等多个期刊审稿人。
甘肃省数学与统计学基础学科研究中心
数学与统计学院