10. A seabird colony consists of two classes of birds immature birds and adult birds. Assume that the number of immature birds in year t is given by ui(t) and the number of adult birds in year t is given by u2(t). The change in age- structure year to year can be modelled by the recursion relation, 10.5 ui(t+1) U2(t+1 - + ) = 2 0.3 0.9||U2(t) 17 [41 (t) Determine the long-term growth rate of this population? In the long-run, what ratio do you expect the classes to be in