This assignment looks long, but much of it is text to give context to the problem. 1. Each system below models one of the following types of interaction: 0 Competition: Two species compete for limited shared resources. (For instance, lions and hyenas hunt the same prey.) o Symbiosis: The presence of each species benets the other species. (An example is the relationship between clownsh and anemones. Clownsh live in anemones; this is mutually benecial because anemone tentacles are poisonous to clownsh predators, and clownsh chase OH anemone predatorsl) a Predator - prey Decide which type of interaction each system models, and explain your reasoning briey. (In particular, which terms of the differential equations did you look at to make your decision?) 2: 2 0.013 u 0.0023:2 _ 0.005.223; (a) d I? = 0.23,: 7 0.000084;2 7 0.000233; dx 2 E 2 0.02m 0.0008m + 0.000133; (b) d (T? = 0.033; 000011,:2 + 0.00002my do: 2 E = [1.le 0.0008x + 0.001% (C) dy = 0.09;; 0.00001y2 0.00233; .q. .-. .. . .. .-.. t