Per capita production = 0.5 + 0.5bt.
The logistic model quantifies a competitive interaction, wherein per capita production is a decreasing function of population size. In some situations, per capita production is enhanced by population size. For each of the following cases where per capita growth increases as a function of population size,
a. Write the updating function.
b. Find the equilibria and their stability.
c. Graph the updating function and cobweb. Which equilibrium is stable?
d. Explain what this population is doing.