報告題目：Dynamical behavior of a colony migration system: Do colony size and quorum threshold affect collective-decision?

報 告 人：邱志鵬

報告時間：2023年5月28日19:30-21:30

報告地點：數(shù)學與統(tǒng)計學院3401教室

報告摘要：Social insects are ecologically and evolutionarily most successful organisms on earth, which can achieve robust collective behaviors through local interactions among group members. Colony migration has been considered as a leading example of collective decision-making in social insects. In this paper, a piecewise colony migration system with recruitment switching is proposed to explore underlying mechanisms and synergistic effects of colony size and quorum on the outcomes of collective decision. The dynamical behavior of the non-smooth system is studied, and the sufficient conditions for the existence and stability of equilibrium are provided. The theoretical results suggest that large colonies are more likely to emigrate to a new site. More interesting findings include but not limit to: (a) the system may exhibit oscillation when the colony size is below a critical level; (b) the system may also exhibit a bistable state, i.e., the colony migrates to a new site or the old nest depending on their initial sizes of recruiters. Bifurcation analysis shows that the variations of colony size and quorum threshold greatly impact the dynamics. The results suggest that it is important to distinguish between two populations of recruiters in modeling. This work may provide important insights on how simple and local interactions achieve the collective migrating activity in social insects. This is a joint work with Lisha Wang, Takao Sasaki and Yun Kang.

報告人簡介：邱志鵬：南京理工大學江陰校區(qū)基礎前沿交叉中心主任、教授、博士生導師,。主要從事常微分方程,、動力系統(tǒng)與生物數(shù)學的研究工作，正在或完成主持國家自然科學基金4項,，國家自然科學基金國際合作基金1項,，教育部留學回國基金1項，參加國家自然科學基金面上項目2項和江蘇省自然科學基金青年項目1項,，目前已在Bull. Math. Biol., Math. Biosci., J. Diff. Equs., SIAM J. Appl. Math., J. Math. Biol., J. Theor. Biol., J. Math. Anal. Appl.等期刊上發(fā)表論文50余篇,，曾先后訪問過美國Purdue大學、Florida大學,，意大利Trento大學,、加拿大York大學和Alberta大學。