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Population dynamics near an oasis with time-dependent convection. (English) Zbl 0995.92038
Summary: We investigate the time evolution of a bacterial population near a favorable spot with time-dependent convection. Diffusion, growth, and saturation effects lead to a localized colony which spreads out in the surroundings. Convection by a time-dependent but spatially uniform random velocity introduces fluctuations. Equations of motion for ensemble averages are derived and compared to numerical simulations.

MSC:
92D25 Population dynamics (general)
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
92D40 Ecology
Software:
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