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 function
To find: The derivative of the wave speed with respect to the reproductive rate r and interpret the result.
Answer to Problem 34E
The derivative of the wave speed with respect to the reproductive rate r is,
Explanation of Solution
The wave speed is given by
Find the derivative of the wave speed with respect to the reproductive rate r as follows,
Thus, the derivative,
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