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# exam1 - Exam 1 M464-001 Fall 2008 Name Part I Suppose that...

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Exam 1 M464-001 Fall, 2008 Name: Part I. Suppose that in a population of N animals we have the following conditions (as represented in the dia- gram at right.) Birth rate is b = 0 . 01 per month per animal. Death rate is d = N 80000 per month per animal. h = 3 animals are removed from the population in each two month time period. b N d h 1. Write a difference equation for N . 2. Find all equilibrium solutions. 3. Sketch the equilibrium solution(s) on a time- N graph. Be sure your graph is properly labeled. 4. On the same graph, sketch the graph of a population for which N (0) = 300 animals. 5. On the same graph, sketch the graph of a population for which N (0) = 700 animals. 1

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Part II. Below there are three difference equation models. There are also three population graphs, each with N (0) = 1000. For each model, indicate which graph, if any, is a possible solution. In the blank after each equation write the letter of the appropriate graph or “None”.
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exam1 - Exam 1 M464-001 Fall 2008 Name Part I Suppose that...

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