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Homework 6

# Homework 6 - Homework6 DueOctober28th,2008 Problem1...

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Homework 6 Due October 28 th , 2008. Problem 1 Challenge “Goal‐seeking Behavior” on page 281 of the textbook. Problem 2 Consider the following stock and flow diagram: This model captures the dynamics of fish regeneration using a very simple assumption: fish regeneration goes down linearly as the fish reaches the system’s carrying capacity. The equation used in the model are: Regenerate(t) = g*Fish(t)*(1‐Fish(t)/CarryingCapacity) with Carrying Capacity, g, and Caught being constants. a) If Caught has been fixed, what are the two equilibrium states for this system? Answer this question for all possible values of g , Caught , and Carrying Capacity , i.e., find a general formula for the two equilibrium states. b) Use iThink, to 1) verify that the states are indeed equilibria. To do this set the initial value of the Fish stock to your answer to part a). Suggested values for

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Homework 6 - Homework6 DueOctober28th,2008 Problem1...

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