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Let x and y represent the populations of species A and B respectively. The populations of A and B can be represented by the

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Let x and y represent the populations of species A and B respectively. The populations of A and B can be represented by the system = = x-2y-3 = x-4x+3 (1) (a) (6 pts) Find all real equilibrium solutions of the system given by (1). Are all the real equilibrium points valid for the population model? Explain the reason briefly. (b) (6 pts) Determine the stability of all the valid equilibrium points for the population model. Show your process as detail as possible.

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