A discrete Boltzmann-type model of swarming

DOI10.1016/j.mcm.2005.05.011zbMath1080.92001OpenAlexW1965163605MaRDI QIDQ814218

N. E. Zubov

Publication date: 6 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2005.05.011

zbMATH Keywords

Boltzmann equationNonlinear dynamicsEntropySwarmingAlignment

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Applications of statistical mechanics to specific types of physical systems (82D99) General biology and biomathematics (92B05)

Related Items (4)

A kinetic model for the formation of swarms with nonlinear interactions ⋮ From the mathematical kinetic theory of active particles to multiscale modelling of complex biological systems ⋮ KINETIC LIMITS FOR PAIR-INTERACTION DRIVEN MASTER EQUATIONS AND BIOLOGICAL SWARM MODELS ⋮ ON A MACROSCOPIC LIMIT OF A KINETIC MODEL OF ALIGNMENT

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• On a certain class of semilinear evolution systems
• A non-local model for a swarm
• Modeling alignment and movement of animals and cells
• Selecting a common direction. I: How orientational order can arise from simple contact responses between interacting cells
• Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory
• An Integrodifferential Model for Orientational Distributions of F-actin in Cells
• ORIENTATION-INDUCED PATTERN FORMATION: SWARM DYNAMICS IN A LATTICE-GAS AUTOMATON MODEL
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