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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Derive a partial diﬀerential equation describing the evolution of the concentration b(x, t) of a pop...