{"title":"Belonging and refueling: Group dynamics in foraging flocks","authors":"Junhe Qiao, Shannon Dee Algar, Thomas Stemler","doi":"10.1016/j.amc.2025.129748","DOIUrl":null,"url":null,"abstract":"We extend the Couzin collective motion model with energy–dependent foraging, where agents balance two competing motivations: remaining with the group versus breaking away to refuel. While both behaviors are individually driven, they reflect different priorities–social cohesion versus physiological need. Our results bridge foraging theory with collective motion, revealing how state-dependent behavioral switching produces phase transitions with implications for collective decision-making in natural systems and autonomous swarm design. Local repulsion–orientation–attraction interactions produce group behavior, whereas refueling requires an intentional defection from this emergent cohesion. Our model explores how agents switch between these internally motivated but functionally distinct behaviors and how this switching gives rise to collective phase transitions. Environmental constraints like ground repulsion radius restrict parameter regions supporting coherent motion while preserving energy balance, showing maintained foraging performance despite spatial limitations.","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"94 1","pages":""},"PeriodicalIF":3.4000,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1016/j.amc.2025.129748","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We extend the Couzin collective motion model with energy–dependent foraging, where agents balance two competing motivations: remaining with the group versus breaking away to refuel. While both behaviors are individually driven, they reflect different priorities–social cohesion versus physiological need. Our results bridge foraging theory with collective motion, revealing how state-dependent behavioral switching produces phase transitions with implications for collective decision-making in natural systems and autonomous swarm design. Local repulsion–orientation–attraction interactions produce group behavior, whereas refueling requires an intentional defection from this emergent cohesion. Our model explores how agents switch between these internally motivated but functionally distinct behaviors and how this switching gives rise to collective phase transitions. Environmental constraints like ground repulsion radius restrict parameter regions supporting coherent motion while preserving energy balance, showing maintained foraging performance despite spatial limitations.
期刊介绍:
Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results.
In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.