10. A seabird colony consists of two classes of birds birds. Assume that the number of immature birds in year t is given by u1(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, immature birds and adult - [u1(t+1) u2(t + 1) [0.5 0.3 0.9 |u2(t) 2 Determine the long-term growth rate of this population? In the long-run, what ratio do you expect the classes to be in?