b Find all equilibria for this model Sketch a graph of the right hand side of

# B find all equilibria for this model sketch a graph

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b. Find all equilibria for this model. Sketch a graph of the right hand side of the model, then draw the phase portrait on the F -axis. What is the stability of each of the equilibria? Determine the carrying capacity for this population of fish. c. Assume that fishing is allowed and that 15,000 fish are harvested annually. The model becomes dF dt = 0 . 4 F 1 - F 200 - 15 . Find all equilibria for this model. Sketch a graph of the right hand side of the model, then draw the phase portrait on the F -axis. What is the stability of each of the equilibria? Determine the carrying capacity for this population of fish. What is the threshold number of fish needed to avoid extinction?
• Fall '08
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