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Mathematics, 10.10.2019 01:00 jordonlewis

Derive a partial differential equation describing the evolution of the concentration b(x, t) of a population of bacteria along a water filament. assume that the bacteria reproduce locally at a rate proportional to their concentration, with proportionality constant λ, and that they diffuse with a flux proportional to −bx, with proportionality constant µ. in order to derive the equation, start with an integral principle describing

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