Lkelly9 Week 7

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• Lauren M. Kelly
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Workflow/Methods

• Created an updated version of my differential equations and attempted to run them in MATLAB
  • File:Lkelly9updatedequations
• Used the script below. Will make changes to the plot labels to better reflect my model

global q u1 u2 y K1 K2 V R
q= 0;
u1= 20;
u2 = 30;
y = 4;
K1 = 3;
K2 = 7;
R = 0.76;
V= 56;
tt = 0:0.1:10;
x0 = [1;2];
[t,x] = ode45('week7projectfunction',tt,x0);
plot(t,x)
xlabel('time')
ylabel('abundance')
title('Population and food source over time')
legend('Population','Food')

• Used the function below.
  • When I tried to run it, I kept getting an error that said "'week7projectfunction' requires more input arguments to run." It appears that there is a possible problem with the (t,x).

function dx = week7projectfunction(t,x)
global q u1 u2 y K1 K2 V R
dx = zeros(size(x));
dx(1) = (q*u1) - (q*x(1)) - x(3)*((x(1))/((x(1))+K1))*((x(2))/((x(2))+K2));
dx(2) = (q*u2) - (q*x(2)) - x(3)*((x(1))/((x(1))+K1))*((x(2))/((x(2))+K2));
dx(3) = (x(3))*R*((x(1))/((x(1))+K1))*((x(2))/((x(2))+K2))-(q*y);
dx(4) = V(1-(V/y))*V;
end