报告人: 康云(亚历山大州立大学 教授)
报告时间: 2025年6月26日(周四) 15: 00
报告地点: 章辉楼442
联系人: 蓝桂杰
欢迎广大师生参加!
报告摘要： This investigation presents a two-dimensional collective foraging model alongside its stochastic counterpart, simplifying the previous more complex three-dimensional framework utilized to examine foraging behaviors within social insect colonies. Initially, a thorough examination of the global dynamics of the deterministic model is undertaken, revealing that the two-dimensional model exhibits solely equilibrium dynamics, with the possibility of coexistence between non-foraging equilibrium and foraging equilibrium states. This finding highlights the parallelism between the two-dimensional model and the traditional three-dimensional framework. Following this, an extensive exploration into the long-term collective foraging dynamics within a stochastic environment is conducted, elucidating the interplay between stochasticity and the transitions across distinct stable foraging states. Additionally, the investigation assesses the risk of foraging cessation across varying initial worker ant populations, subsequently delineating foraging termination warning thresholds. The findings illuminate the multifaceted influence of environmental stochasticity on the collective foraging dynamics observed in harvester ant colonies. Grasping these dynamics furnishes valuable understanding into ecological resilience and the adaptive strategies deployed by collective entities in navigating environmental fluctuations.
报告人简介: Yun Kang 博士是亚利桑那州立大学综合科学与艺术学院（CISA）的应用数学教授。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。康博士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，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上发表论文逾 130 篇。近期，她在复杂适应系统数学建模方面的研究于 2023 年 6 月登上《自然》Career 版块，凸显了跨文化合作在科学进步中的价值。 康博士先后建立了多项高经费研究项目，并主导创建了亚利桑那州立大学应用数学本科项目。她致力于卓越教学与导师制，特别关注历史上处境困难群体的培养与少数族裔学生的数学参与度提升。康博士曾担任美国数学学会（AMS）女性数学家联合委员会代表，并出任国际差分方程学会理事兼财政主管。她的努力为学生和更广泛的数学社群营造了更具包容性和支持性的环境。
