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3D Lotka-Volterra Competition Model with Seasonal Succession: A Global Dynamical Approach
- 来源：
- 学校官网
- 收录时间：
- 2026-03-17 19:21:06
- 时间：
- 2026-01-23 15:30:00
- 地点：
- 2号学院楼2432
- 报告人：
- 王毅
- 学校：
- 东华大学
- 关键词：
- Lotka-Volterra, competition model, seasonal succession, 3D system, dynamical systems, periodic solutions, heteroclinic cycles
- 简介：
- We focus on the 3D Lotka-Volterra competition model of differential equations with seasonal succession. Such a system can be viewed as a bridge between the competitive discrete-time mappings and time periodically forced competitive differential equations. A global dynamical approach is presented on the classification of the dynamics even if the system may possess multiple positive harmonic periodic solutions and the heteroclinic cycles. This is a series of joint works with Lei Niu (at Donghua Univ) and Xizhuang Xie (at Huaqiao Univ).
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报告介绍：
We focus on the 3D Lotka-Volterra competition model of differential equations with seasonal succession. Such a system can be viewed as a bridge between the competitive discrete-time mappings and time periodically forced competitive differential equations. A global dynamical approach is presented on the classification of the dynamics even if the system may possess multiple positive harmonic periodic solutions and the heteroclinic cycles. This is a series of joint works with Lei Niu (at Donghua Univ) and Xizhuang Xie (at Huaqiao Univ).
报告人介绍：
1997年获安徽师范大学学士学位，2002年获中国科技大学博士学位，现任中国科技大学讲席教授、博士生导师，中国数学会第十四届理事。主要研究领域为微分方程与动力系统，在包括JEMS、 Math. Ann、Adv.Math、Proc. London Math. Soc.等国际高水平数学期刊发表论文50余篇。曾应邀对美国佐治亚理工学院、芬兰赫尔辛基大学、美国明尼苏达大学长期学术访问。2004年入选全国百篇优秀博士论文，2007年入选教育部新世纪优秀人才支持计划，2018年获国家杰出青年科学基金资助。主持国家自然科学基金重点项目、中科院基础与交叉前沿（B类先导）专项项目、科技部重点研发计划专项课题等。
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