MATLAB: How to run a loop for multiple variations of a variable.

differential equationsfor loopiterationloop

Hello, I'm new to MATLAB and coding and I'm trying to vary the parameter 'p' from 0 to 3 in incriminates of 1 inside the loop which should give me three different sets of data for the v_d equation but I can't get it to work. Can anyone see what I am doing wrong? Thanks!
e=0.01; k=4; a=0.1; p = 0:1:3;
i = 0.001;
u=zeros(100000,1);
v=zeros(100000,1);
v_d=zeros(100000,1);
t=zeros(100000,1);
% Initial conditions:
u(1)=0.6;
v(1)=0.0;
v_d(1)=0.0;
t(1)=0;
dt=0.001;
for i=1:1:50000
      t(i+1)=t(i)+dt;
      u(i+1) = u(i)+ dt*((1/e)*((k*u(i)*(u(i)-a)*(1-u(i)))-v(i)));
      v(i+1) = v(i)+ dt*(u(i)-v(i));
      v_d(i+1) = v_d(i)+ dt*(u(i)-p*v_d(i));
end

Best Answer

v_d=zeros(50000,4);  %<--change

t(1)=0;
dt=0.001;
for i=1:1:50000
      t(i+1)=t(i)+dt;
      u(i+1) = u(i)+ dt*((1/e)*((k*u(i)*(u(i)-a)*(1-u(i)))-v(i)));
      v(i+1) = v(i)+ dt*(u(i)-v(i));
        v_d(i+1,:) = v_d(i,:)+ dt*(u(i)-p.*v_d(i,:)); %<--change
end
Related Question