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Consider the following model for the interaction of a species of fish x and the fish's main predator y: C = rre- аху, j=
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Consider the following model for the interaction of a species of fish x and the fish's main predator y: C = rre- аху, j=
Consider the following model for the interaction of a species of fish x and the fish's main predator y: C = rre- аху, j= (cz - b)y 1. Assume that all constants are positive. Explain, in words, what each term in the model is trying to describe. What do the parameters r, a, b, c, 8 represent? 2. Find all the nullclines of the model. 3. Sketch the nullclines on the phase plane. 4. Find the fixed points of the model. 5. Determine the stability of the fixed points graphically. Sketch a few solutions in the phase plane.
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