Question: 3. Consider the predator-prey equations given by dx = rx(1 - x/K) - axy, dt dy - -ky + bay, dt where y is the

3. Consider the predator-prey equations given by dx = rx(1 - x/K) - axy, dt dy - -ky + bay, dt where y is the population of the meat-eating predators and x is the population of the prey who are herbivores. Here r, K, k, b are all positive constants. (a) Find the equilibrium solutions of this system of differential equations. (b) Linearize the equations and determine whether each of the equilibria is stable or unstable

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