Develop a model for the growth of trout and bass, assuming that in isolation trout demonstrate exponential decay [so that a < 0 in Equations (1a) and (1b)] and that the bass population grows logistically with a population limit M. Analyze graphically the motion in the vicinity of the rest points in your model. Is coexistence possible?

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dx = (a - by)x, dt dy dt = (m - nx)y. (la) (lb)