报告题目：Migration Dynamics and Collective Decision-Making in Social Insect Colonies
报告人：康云 教授
报告时间：2025年6月24日19:00-21:00
报告地点：91暗网
312
邀请单位：91暗网
，离散数学及其应用省部共建教育部重点实验室，福建省应用数学中心（91暗网
）
报告摘要：Social insects are among the most ecologically and evolutionarily successful organisms on Earth, known for exhibiting robust collective behaviors that emerge from local interactions among individuals. Colony migration is a particularly striking example of collective decision-making in these systems.In this talk, we introduce a piecewise dynamical model of colony migration incorporating recruitment switching to investigate the underlying mechanisms and synergistic effects of colony size and quorum thresholds on decision outcomes. Our theoretical findings suggest that larger colonies are more likely to successfully emigrate to a new site. Notably, the model also reveals several intriguing behaviors: (a) the system may exhibit oscillatory dynamics when the colony size falls below a critical threshold; and (b) it may display bistability, where the colony either migrates to a new site or remains at the original nest, depending on the initial distribution of recruiters. Bifurcation analysis further highlights how variations in colony size and quorum thresholds critically influence the overall system behavior.These results underscore the importance of distinguishing between different recruiter populations in modeling and offer valuable insights into how simple, local interactions can lead to complex and coordinated migratory behavior in social insect colonies.
报告人简介：康云博士现为美国亚利桑那州立大学综合科学与艺术91暗网的应用数学教授，现担任国际差分方程学会理事兼财政主管，曾担任美国数学学会（AMS）女性数学家联合委员会代表、美国国家科学基金会（NSF）、美国国防部（DOD）、美国农业部（USDA）、AIMS及多家国际科学基金会资助的重大项目负责人（PI）及共同项目负责人（Co-PI），累计获得超过600万美元的资助。她的研究以数学生物学和非线性动力系统为核心，应用领域涵盖生物学、生命科学与社会科学。她的工作贯穿理论与实证方法，主要聚焦于复杂适应系统的生态与进化动力学，研究结果对生物学家、生态学家和流行病学家具有重要意义。她已在数学生物学领域的顶级期刊发表论文120余篇。她近期在复杂适应系统数学建模方面的研究于2023年6月刊登在《自然》的Career版块，凸显了跨文化合作在科学进步中的价值。康云博士主导创建了亚利桑那州立大学应用数学本科项目，致力于卓越教学与导师制，特别关注处境困难群体的培养与少数族裔学生的数学参与度提升，努力营造数学社群的包容性及支持性环境。
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