20 This question has two parts - make sure you answer both. On a remote island, two species coexist One species is a predator, and the other is its prey Mathematical modelling showed that the population of the two species change over time according to the following discrete dynamical system -0.9 where zn denotes the population of prey species and denotes the 225 -0.75 un population of predators (both given n years after the disccwery of the island). 2.1 0.9 5 with eigenvalues = -4 and h as eigenvectors Ul = 3 and The matrix 2.25 0.75 respectively bVhen the island was discovered the populations were = IO(K) and = 1000 How many predators does the model predict will be on the island after one year after its discovery? Select one alternative 0 1500 0 1000 0 1250 0 1200 What does the model predict happen to the populations in the long term? Select one alternative 80th species will shrink in numbers over time, with approximately three-fifths of the predator species remaining Both species will become extinct 80th species will shrink in numbers over time, with approximately three-eights of the prey species remaining 80th species will shrink in numbers over time, with approximately two-thirds of the prey species remaining