Preliminary Report on Mathematical Modeling for Swarming of Small Animals in Motion (Non-Mathematical Presentation).

Abstract

Swarming phenomena of small organisms in motion may be studied theoretically by a combined process of diffusion (random movements of organisms) and of non-diffusion (behavioral characteristics of organisms involving a non-random process). The diffusion equation of concern includes a density-dependent diffusivity and a forcing term which creates a virtual flow of organisms toward a center of swarming. The swarm dimension can be related to the parameters of diffusion and biological behavior. This report presents a preliminary look at the mathematical modeling of swarming phenomena. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1972
Accession Number
AD0755209

Entities

People

  • Akira Okubo

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Diffusion
  • Diffusivity
  • Equations

Fields of Study

  • Biology
  • Mathematics

Readers

  • Aerospace Engineering
  • Fluid Dynamics.
  • Systems Analysis and Design