Preliminary Report on Mathematical Modeling for Swarming of Small Animals in Motion (Non-Mathematical Presentation).
JOHNS HOPKINS UNIV BALTIMORE MD CHESAPEAKE BAY INST
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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