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Math 308, Matlab assignment 2 due October 14 in class
 

Summary: Math 308, Matlab assignment 2
due October 14 in class
plot(x,y) plots entries of the vector y versus entries of the vector x. plot(x1,y1,x2,y2)
plots two graphs on the same plot. They are automatically done in different colors. You can also
modify the style of each graph: try plot(x1,y1,'x:',x2,y2,'--') and use help plot
for more details. You can also add a new graph to the previous plot by using hold on / hold
off commands. Use legend('first graph','second graph') to label the graphs,
xlabel('x'), ylabel('y'), title('Title') to label the axes and the figure, and
grid on to add a grid if you want.
1. The file RPS.m models the evolution of interacting Rock-Paper-Scissors populations. With the
growth parameter a = 1.1 and initial conditions R(0) = 2, P(0) = 0.5, S(0) = 1, answer the
following question: which population is the largest at the time
(a) t = 1
(b) t = 5
(c) t = 10?
You can attach the plots if you like. The easiest way to do this problem is to imitate what is done in
the diary.
2. The predator-prey equations are also called the Lotka-Volterra equations. They were originally
introduced in the 1920's by the Italian mathematician Umberto Volterra to explain why, during the
first World War, a larger percentage of catch of Italian fishermen consisted of sharks and other fish

  

Source: Anshelevich, Michael - Department of Mathematics, Texas A&M University

 

Collections: Mathematics