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# ws02-1 - Exercise 1 3 Repeat with an initial population of...

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Math 464, Handout 2 1. Suppose that in a population of 100 animals the probability of birth is p b = 0 . 05 per day, but the probability of death depends on the number of animals, N , on any given day: p d = 1 5000 N So, for example, on the Frst day p d = 0 . 2, but on any later (or earlier) day it will be something else. (a) ±ind the (expected) population at the end of each of the next Fve weeks. (b) ±ind the (expected) population at the beginning of each of the previous Fve weeks. (c) Graph your results. Be sure to label your axes clearly. 2. Repeat with an initial population of 50 animals. Draw your graph on the same axes as in
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Unformatted text preview: Exercise 1. 3. Repeat with an initial population of 150 animals. Draw your graph on the same axes as in Exercise 1. 4. Repeat with an initial population of 350 animals. Draw your graph on the same axes as in Exercise 1. 5. Explore a little: (a) Extend the time, say to t = ± 100 days. (b) Try other initial populations; perhaps 100, 200, 250, 300. Maybe even 0 or-50. (c) Be sure to graph everything. (d) What happens if two graphs cross? 1...
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