Recruitment Dynamics of Social Insect Colonies

DOI10.1137/20M1332384zbMath1470.92400OpenAlexW3189756260MaRDI QIDQ5007133

Yun Kang, Zhipeng Qiu, Tao Feng

Publication date: 26 August 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1332384

zbMATH Keywords

periodic solutionssocial insectssubcritical Hopf bifurcationssupercritical Hopf bifurcationslimit point bifurcationscolony densityfold bifurcation of the limit cyclerecruitment dynamics

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Attractors of solutions to ordinary differential equations (34D45) Animal behavior (92D50)

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Cites Work

• Unnamed Item
• Leader-based and self-organized communication: modelling group-mass recruitment in ants
• Dynamical models of task organization in social insect colonies
• Modeling ant foraging: a chemotaxis approach with pheromones and trail formation
• Synchronization of the behaviour within nests of the ant Leptothorax acervorum (Fabricius). I: Discovering the phenomenon and its relation to the level of starvation
• Synchronization of the behaviour within nests of the ant Leptothorax acervorum (Fabricius). II: Modelling the phenomenon and predictions from the model
• Balancing organization and flexibility in foraging dynamics
• A one-dimensional model of trail propagation by army ants
• Trail formation based on directed pheromone deposition
• Dynamics of task allocation in social insect colonies: scaling effects of colony size versus work activities
• Self-organisation and communication in groups of simulated and physical robots
• Endemic Bubbles Generated by Delayed Behavioral Response: Global Stability and Bifurcation Switches in an SIS Model
• Nutritional regulation influencing colony dynamics and task allocations in social insect colonies
• Elements of applied bifurcation theory

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