东南大学数学学院邀请专家申请表
报告人 | 单位 | Western Sydney University | |
报告题目 | Survival of Generalized Verhulst–Lotka–Volterra Model over Coopetition Networks | ||
报告时间 | 7月21日 10：30-11：30 | 地点 | 九龙湖校区数学学院教工活动室 |
邀请人 | 曹进德 温广辉 付俊杰 | ||
报告摘要 | The states of some practical systems in biology, ecosystems, and economy must have a positive sign, and the Lotka–Volterra (LV) model (prey–predator model) and its generalization have often been used to model such systems. This talk considers the survival problem for the generalized Verhulst–Lotka–Volterra (VLV) model with cooperative and competitive interactions. Survival means that all agents will have a positive sign as time goes to infinity. First, we consider the generalized VLV model in which every agent has an individual capacity and the cooperative and competitive interactions are allowed to coexist. We obtain some sufficient conditions such that the VLV model is survival. Then, we consider this generalized VLV model with a special network structure in which cooperative and competitive interactions coexist, and we show that the VLV model is survival for any admissible parameters. Second, we consider the generalized VLV model in which there exists a market capacity and there exist no competitive interactions. For this model, some sufficient conditions are derived for survival of all agents. | ||
报告人简介 | Wei Xing Zheng received the B.Sc. degree in Applied Mathematics in 1982, the M.Sc. degree in Control Theory and Applications in 1984, and the PhD degree in Control Theory and Applications in 1989, all from Southeast University, Nanjing, China. Over the years he has held various faculty/research/visiting positions at Southeast University, China; Imperial College of Science, Technology and Medicine, U.K.; University of Western Australia, Australia; Curtin University, Australia; Munich University of Technology, Germany; University of Virginia, USA; and University of California at Davis, USA. Currently he is a Distinguished Professor with Western Sydney University, Sydney, Australia. Dr. Zheng is a Fellow of IEEE and was named as an ISI Highly Cited Researcher by Clarivate Analytics (formally Thomson Reuters) in 2015, 2016, 2017 and 2018 consecutively. Currently, he serves as an Associate Editor for Automatica, IEEE Transactions on Automatic Control (the second term), IEEE Transactions on Cybernetics, IEEE Transactions on Neural Networks and Learning Systems, IEEE Transactions on Control of Network Systems, and other scholarly journals, and also serves as a Guest Editor for IEEE Transactions on Circuits and Systems-I: Regular Papers. He is currently Chair of IEEE Control Systems Society's Standing Committee on Chapter Activities. | ||
