The purpose of this assignment is to write a case study report on population growth of deer in northeastern Pennsylvania. Use the attached document Deer Hunting PA Reference.pdf in order to write an introduction to the problem as well as comment on the results and conclusion.
The parameters for the Matlab code are:
%N = population of deer per square mile
%No = initial population of deer per square mile = 30
%t = time [years]
%r = growth rate = 3
%k = carrying capacity = 50
%h = hunting rate {to be determined by you}
Since the hunting decrease is proportional to the number of deer available, the governing ordinary differential equation is:
dN/dt = rN(1- N/k) - hN
Show all Matlab code with comments. Make sure to label axis in plots.
- Explore various hunting rates, including h = 0.
- Determine what hunting rate is needed to maintain the current deer population of 30 per square mile.
- Determine what hunting rate would reduce the population back to the 1700's rate of 10 per square mile.
- Determine what hunting rate would kill off the deer population entirely.
Write a formal report including the following sections:
- Cover page with course, semester, instructor and your name
- Abstract
- Introduction (introduce problem including references. Do not write word for word from any source. You need to paraphrase in your own words!)
- Theory (include differential equation and explanations of variables)
- Results (include plots and discussions for each hunting rate)
- Conclusion (summarize all results)