Invasive species often display a wave of advance as they colonize new areas. mathematical models based on random dispersal and reproduction have demonstrated that the speed with which such waves move is given by the expression 2 dr, where r is the reproductive rate of individuals and d is a parameter quantifying dispersal. calculate v' (r), the derivative of the wave speed with respect to the reproductive rate r.

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22 February, 07:21

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Gordon Avila · Answer 1

V' (r) = sqrt (D) / sqrt (r)

v' (r) is the rate of change of invasive species wave speed with respect to the reproductive rate of individuals.