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

摘要

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)