Question: What is the answer 2. Consider the predator-prey system dx dt = ax 1 - XC B - bay dy - day dt Ay -
What is the answer

2. Consider the predator-prey system dx dt = ax 1 - XC B - bay dy - day dt Ay - cy, where B and A are the carrying capacities for the prey x and the predator y, respectively. (a) Show that Eo = (0, 0) is a steady-state/equilibrium solution. Lin- earize the system and classify Eo. (b) Show that EB = (B, 0) is a steady-state/equilibrium solution. Linearize the system and classify EB. (c) Let E = (a*, y*) denote the unique interior steady-state/ equilibrium solution. Linearize the system and classify E. (d) Showing all steps (and with the assistance of a CAS, if necessary), find E
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