Question: Divide both sides of the discrete-time dynamical system for xt by xt+1 + yt+1 to find a discrete-time dynamical system for the fraction pt on

Divide both sides of the discrete-time dynamical system for xt by xt+1 + yt+1 to find a discrete-time dynamical system for the fraction pt on the first island. What is the equilibrium fraction?
The model of selection studied in this section is similar to a model of migration. Suppose two nearby islands have populations of butterflies, with xt on the first island and yt on the second. Each year, 20% of the butterflies from the first island fly to the second and 30% of the butterflies from the second fly to the first. Suppose there are no births and deaths.

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