On the mathematical theory of behavioral swarms emerging collective dynamics
Bellomo, Nicola
Active particles
Complexity
Emerging behaviors
Living systems
Swarms
This paper considers a system consisting of a number of interacting living entities whose
state at the microscopic scale is heterogeneously distributed among the said entities.
This state includes, in addition, the classical mechanical variables, such as position and
velocity, also a behavioral variable which is modi ed by interactions. It is shown how the pioneering ideas proposed in Bellomo et al. [Towards a mathematical theory of
behavioral swarms, ESAIM Control Optim. Calc. Var. 26 (2020) 125] can be developed
towards modeling behavioral swarms within a quest towards a mathematical theory of
living systems. The rst part of the paper presents a qualitative analysis of the emerging
behaviors predicted by the model in aforementioned work. Some simulations follow to
depict the said emerging behaviors. The last part of the paper is devoted to derive a
new, more general theory in view of applications to model living systems.
2023-01-18T13:23:33Z
2023-01-18T13:23:33Z
2022-12-19
info:eu-repo/semantics/article
Bellomo, N... [et al.]. (2022). On the mathematical theory of behavioral swarms emerging collective dynamics. Mathematical Models and Methods in Applied Sciences, 1-33. DOI: [10.1142/S0218202522500683]
https://hdl.handle.net/10481/79103
10.1142/S0218202522500683
eng
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
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World Scientific