Fisher's Equation (I solved it, now need to know how to analyze my plot)

[takbq2]

Homework Statement

I am asked to solve Fisher's equation, i.e. the PDE u_t = u_xx+u(1-u) .

Then I am asked to describe how the speed of the wave front of solutions to it depend on the amplitude of the initial population with the "mutant gene"

and likewise how does it (the wave front of solutions) depend on the length of the spatial interval occupied by the initial population with the "mutant gene".

I managed to solve the equation and come up with some nice looking plots, but I'm not sure how to analyze them to find the relationships.

Homework Equations

The Attempt at a Solution

I solved the equation, just don't really understand the solutions. Need to find the relationships stated above. I attached a JPEG of my plot.

 

[takbq2]

anyone dealt with the fisher equation?