If we modify the LotkaVolterra equations by including a

Chapter 9, Problem 15

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If we modify the LotkaVolterra equations by including a self-limiting term x2 in theprey equation, and then assume constant-effort harvesting, we obtain the equationsx= x(a x y E1), y= y(c + x E2).In the absence of harvesting, the equilibrium solution of interest is x = c/,y = (a/) (c)/().(a) How does the equilibrium solution change if the prey is harvested, but not the predator(E1 > 0, E2 = 0)?(b) How does the equilibrium solution change if the predator is harvested, but not theprey (E1 = 0, E2 > 0)?(c) How does the equilibrium solution change if both are harvested (E1 > 0, E2 > 0)?

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