# ws08 - A t for each of the ±rst 500 days 3 Compute the...

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Math 464, Worksheet 8 Suppose that a population is divided into M mature animals and A adolescents. Assume the following conditions (as represented in the diagram below): Birth rate is b = 0 . 1 adolescents per day per mature animal. Death rate for adolescents is d A = 0 . 01 per day per adolescent. Death rate for mature animals is d M = 0 . 05 per day per mature animal. Adolescents mature into adults at a rate of g = 0 . 1 per day per adolescent. d A A b g M d M 1. Write diFerence equations for A and M . 2. Assuming A (0) = M (0) = 50, compute
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Unformatted text preview: A ( t ) for each of the ±rst 500 days. 3. Compute the ratio M ( t ) /A ( t ) for each of these days. What is the long term ratio? 4. Graph A ( t ) and M ( t ). 5. Repeat Problems 2-4 for A (0) = 40 and M (0) = 60 6. Repeat 2-4 for A (0) = 100 and M (0) = 0 7. Repeat 2-4 for A (0) = 0 and M (0) = 100 8. Repeat Problems 1-6 with an adolescent death rate of d A = 0 . 1. 9. What happens if d A = 0 . 5? 10. Experiment with diFerent values of g , b and d M . 1...
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## This note was uploaded on 10/12/2011 for the course MATH 464 taught by Professor Dougbullock during the Fall '08 term at Boise State.

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