For the two species X and Y of Exercise 27, suppose that
Chapter , Problem 28(choose chapter or problem)
For the two species X and Y of Exercise 27, suppose that both X and Y reproduce very slowly. Also suppose that competition between these two species is very intense. (a) What can you conclude about f/x and g/y at (0, 0)? (b) What can you conclude about f/y and g/x at (0, 0)? (c) What type(s) of equilibrium point can (0, 0) possibly be? [There may be more than one possibility. If so, specify all of them.] (d) For each of the possibilities listed in part (c), sketch a possible phase portrait near (0, 0). Remember to justify all answers.
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