hw-07-dynsys

# hw-07-dynsys - Math 319 Homework 07#1 Consider a population...

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Math 319 Homework 07 ---------------------------------------------------------------- #1: Consider a population of squirrels, broken into age groups of 0-year-olds (i.e. between birth and .9999 years old), 1-year-olds, 2-year-olds, and 3-year-olds. 0-year-olds don't have babies, 1-year-olds have an average of 1 baby each, 2-year-olds have an average of 0.8 babies each, and 3-year-olds 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 3-year-olds 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 0-year-olds, 25% 1-year-olds, 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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hw-07-dynsys - Math 319 Homework 07#1 Consider a population...

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