HOMEWORK 3A
Due: July14,2015,11:59pm
1.
Write a MATLAB script that computes the correlation
coefficient
of populations of
lynx and hare in one period.
Lastweek,weinvestigatedthebehaviorofthreespeciescompetingforthesamefood. As
many of you observed, solving this problem without the use of arrays presented
challenges. Since the algorithm needed to overwrite the values of x, y, and z at every
time step, any calculations or plotting that required access to past data had to occur
within the loop itself. This week, we’ll examine how a similar problem can be solved
using arrays.
UsingthedatacollectedbytheHudson’sBayCompanyfrom1900to1920,thepopulationso
fthelynx (predator) and hare (prey) was modeled using Lotka
–
Volterra equation by
Dr. Mahaffy
( http://www
rohan.sdsu.edu/˜jmahaffy/courses/f09/math636/lectures/lotka/quald
e2.
html) :
dx dt
= 0.4x −0.018xy,
dy dt
= −0.8y +0.023xy,
(1)
where x, y are the populations (thousands) of hare and lynx, and t is time in units of
years.
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 Summer '06
 ArunPrakash
 Computer Science, Numerical Analysis, Correlation Coefficient, Computer Programming, time step, Plinko, high linear correlation

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