So, can we apply this equation to humans?
What do we know? Well we know that since the population is exponentially growing, that lambda must be greater than 1, for humans.
Also, Download this tool so that you can publish your results Choose the bottom worksheet clled HumanGrowth.
So go ahead and plug in values of the various parameters to see what combination of parameters (e.g. alpha, s, lalpha, b) gives us lambda between 1.01 and 1.02, which is approximately the growth rate of the world over the last 100 years.
In addition, find a stability solution (Lambda = 1).
Note the cells H1, I1, J1 are the inverse of b and tell you, on average, in years, the frequency of birth of females.
When you have a solution, just copy the three lines of excel onto the clipboard and then select "Paste from Clipboard" in the table work sheet tool, then publish that to global view.
Okay now's lets think about the finite age equation
below. Why is this not particularly applicable to human growth?