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The survival of two species depends on their mutual cooperation. For instance, a species of bee that feeds primarily on the nectar of one plant species and simultaneously pollinates the plant. One simple model of mutualism is given by
dx/xt = −ax + bxy
dy/dt = −my + nxy
where a, b, m, and n are all positive constants.
Perform a graphical analysis and indicate the trajectory directions in the phase plane.
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