Non-linear advection-diffusion equations approximate swarming but not schooling populations

DOI10.1016/j.mbs.2008.06.002zbMath1143.92042OpenAlexW2059186766WikidataQ51684511 ScholiaQ51684511MaRDI QIDQ938685

Karen Chan, Michael T. Nishizaki, Daniel Grünbaum, Elizabeth Tobin

Publication date: 27 August 2008

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2008.06.002

zbMATH Keywords

partial differential equationindividual-based modelsocial behavior

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Animal behavior (92D50)

Related Items

ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS ⋮ A family of analytical solutions of a nonlinear diffusion-convection equation ⋮ A kinetic model for the formation of swarms with nonlinear interactions ⋮ Multiscale analysis of collective motion and decision-making in swarms: an advection-diffusion equation with memory approach ⋮ ON THE DIFFICULT INTERPLAY BETWEEN LIFE, "COMPLEXITY", AND MATHEMATICAL SCIENCES

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