The system dx dt = x(x y + 70) dy dt = y(2x y + a) is a

Chapter , Problem 26

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The system dx dt = x(x y + 70) dy dt = y(2x y + a) is a model for a pair of competing species for which dy/dt depends on the parameter a. Find the two bifurcation values of a. Describe the fate of the x and y populations before and after each bifurcation.

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