Math 319
Homework 07

#1: Consider a population of squirrels, broken into age groups of 0yearolds
(i.e. between birth and .9999 years old), 1yearolds, 2yearolds, and
3yearolds.
0yearolds don't have babies, 1yearolds have an average
of 1 baby each, 2yearolds have an average of 0.8 babies each, and 3yearolds
don't have babies.
The chance of surviving from 0 to 1 is 0.7, from 1 to 2
is 0.9, from 2 to 3 is 0.6, and 3yearolds never survive to 4 years old.
The initial population is 1000, spread equally over each age group.
Using your favorite software,
track the population trajectory over an appropriate number of years.
(choosing a good # of years is part of the exercise!)
Graph the total population each year.
Also, graph the proportion of total population for each age group as
time goes on (e.g.
we start at 25% of the population being 0yearolds,
25% 1yearolds, etc.)does that reach a steady state?
Now, suppose a minor famine hits that lowers the birth rates to .5 for
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