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

Mathematical Biosciences

Volumn 214, Issue 1-2, 2008, Pages 38-48

  Grünbaum, Daniel ^a   Chan, Karen ^a   Tobin, Elizabeth ^a   Nishizaki, Michael T ^b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Individual based model; Partial differential equation; Social behavior

Indexed keywords

ADVECTION; ALIGNMENT; COMPUTATIONAL FLUID DYNAMICS; DIFFUSION; EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; FUNCTION EVALUATION; IMAGE SEGMENTATION; PARTIAL DIFFERENTIAL EQUATIONS; POPULATION STATISTICS; SEMICONDUCTOR DOPING; TURBULENT FLOW;

ADVECTION-DIFFUSION EQUATIONS (ADE); APPLIED (CO); DEFINED FUNCTIONS; ECOSYSTEM MODELING; EFFECTIVE DIFFUSION; ELSEVIER (CO); INDIVIDUAL BASED MODEL (IBM); LOCAL DENSITY; MATHEMATICAL DESCRIPTIONS; NON-LINEAR; NUMERICAL ESTIMATES; NUMERICAL SCHEMES; POPULATION DISTRIBUTIONS; SOCIAL BEHAVIORS; SPACE SCALES; SPATIAL DISTRIBUTIONS; SPATIAL PROBLEMS;

LINEAR EQUATIONS;

EQUATION; NONLINEARITY; NUMERICAL MODEL; POPULATION DISTRIBUTION; POPULATION ESTIMATION; POPULATION SIZE; SPATIAL DISTRIBUTION; SWARMING;

ADVECTION; ARTICLE; DIFFUSION; ECOSYSTEM; GEOMETRY; NONLINEAR SYSTEM; POPULATION; POPULATION DENSITY; SCHOOL; SIMULATION;

ALGORITHMS; ANIMALS; BEHAVIOR, ANIMAL; COMPUTER SIMULATION; ECOSYSTEM; MODELS, BIOLOGICAL; POPULATION DENSITY; POPULATION DYNAMICS; SOCIAL BEHAVIOR; SPATIAL BEHAVIOR; STOCHASTIC PROCESSES;

EID: 47549091141     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2008.06.002     Document Type: Article

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