A nonlocal continuum model for biological aggregation
type: Item
instance of: scholarly article
title: A nonlocal continuum model for biological aggregation
zbMATH Open document ID: 1334.92468
author: Chad M. Topaz
author: Andrea L. Bertozzi
author: M. A. Lewis
published in: Bulletin of Mathematical Biology
publication date: 2016-04-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/q-bio/0504001
Mathematics Subject Classification ID: 92D50
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 92C15
zbMATH DE Number: 6562946
zbMATH Keywords: aggregation
zbMATH Keywords: integro-differential equation
zbMATH Keywords: pattern
zbMATH Keywords: swarm
MaRDI profile type: Publication
OpenAlex ID: W2119414533
Wikidata QID: Q43890828
arXiv ID: q-bio/0504001
cites work: Phase transitions in self-driven many-particle systems and related nonequilibrium models: a network approach
cites work: Degenerate diffusion equations with drift functionals modelling aggregation
cites work: Spectral comparison principles for the Cahn-Hilliard and phase-field equations, and time scales for coarsening
cites work: Dewetting films: Bifurcations and concentrations
cites work: Euclidean Shift-Twist Symmetry in Population Models of Self-Aligning Objects
cites work: Q5445118
cites work: Pattern formation outside of equilibrium
cites work: Aggregative effects for a reaction-advection equation
cites work: Do travelling band solutions describe cohesive swarms? An investigation for migratory locusts
cites work: Moving and staying together without a leader
cites work: Q4836452
cites work: Localized Cluster Solutions of Nonlinear Degenerate Diffusion Equations Arising in Population Dynamics
cites work: Stationary solutions of a spatially aggregating population model
cites work: Standing pulse-like solutions of a spatially aggregating population model
cites work: Stability of localized stationary solutions
cites work: A non-local model for a swarm
cites work: Mutual interactions, potentials, and individual distance in a social aggregation
cites work: Asymptotic Behavior for a Nonlinear Degenerate Diffusion Equation in Population Dynamics
cites work: Q3856484
cites work: Diffusion and ecological problems: Modern perspectives.
cites work: Dynamics of a condensing liquid film under conjoining/disjoining pressures
cites work: Statistical hydrodynamics of ordered suspensions of self-propelled particles: Waves, giant number fluctuations and instabilities
cites work: Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
DOI: 10.1007/S11538-006-9088-6
description: scientific article