Consider a model of an insect life cycle that breaks down the life cycle into three phases: Egg (E), Larva (L), and Adult (A). The difference equations for this model are as follows, where each time step corresponds to one week: Et+1 = 1504 At
Et+1 = 0.2Et+0.31Lt
At+1 = 0.5Lt+0.1At
Use these equations:
a. What fraction of the eggs remain as eggs for one week?
b. What fraction of the eggs survive to become larvae?
c. What fraction of the larvae survive for one week as larvae?
d. How many eggs does each adult produce per week?