Math 326, Feb 10 -
Harvesting Game
We build the model in 2.2, Harvesting Models. Here we are
trying to model the population of some species of animal which is
hunted, such as deer. The population grows as in logistic growth
and every year a certain number are harvested.
The population has a Base Growth Rate and a Capacity. Each year,
we update the Population by adding Births and subtracting
Harvest. The number
of births each year is:
Births = Population * Base Growth Rate * (1-Population/Capacity)
Remember the Population/Capacity=Saturation in logistic growth.
Build a model for population, using an initial population of 200, a
Capacity of 1000, a Base Growth Rate of 0.6 and a Harvest rate of
50.
Additional Questions
- Graph Births, Harvest, and Surviving Adults in a Stacked Column or
Stacked Area graph. Use scroll bars to see how things change as
you vary the Harvest rate.
- Try making the Harvest rate a percentage of the total population,
start with 10%.
- As you have learned to make a cobweb graph, try setting up a
cobweb for the proportional harvest model.