Why does my code produce a single direction vector and not a phase portrait of all the direction vectors
1 view (last 30 days)
Show older comments
Connor McLaughlin
on 27 Oct 2023
Answered: Dyuman Joshi
on 27 Oct 2023
I was hoping to get a phase portrait but instead I get a short spiral and no other values.
% Mesh Grid in (Diamtoms(D),Zooplankton(P))-plane
[D, P] = meshgrid(-1:0.20:200, -1:.20:200);
% Parameters
K=1; s=1; e=1; r=1; H=1; d=0.75;
% System as a 2-D function
f = @(t,X) [X(1)*(r*(1-X(1)*(1/K))-(s*X(1)/1+s*H*X(1))*X(2));
X(2)*(e*(s*X(1))/(1+s*H*X(1))-d)];
%Direction Filed
% Ddot is dD/dt and Pdot is dP/dt derivatives
Ddot = D-(1/K)*D*D-(s*D)/((1+s*H*D))*P;
Pdot = P*((s*D)/(1+s*H*D))-P*d;
% Vector Field
figure(1)
quiver(D,P,Ddot,Pdot,'k','LineWidth',1.5, 'AutoScaleFactor', 3)
hold on
Warning: Matrix is singluar to working precision
corresponding to my derivatives and my meshgrid
0 Comments
Accepted Answer
Dyuman Joshi
on 27 Oct 2023
You need to use element-wise operations for defining Ddot and Pdot.
Also, starting the values from -0.8, as for D == -1, the values of Ddot and Pdot are Infinite (as 1+s*H*D == 0)
% Mesh Grid in (Diamtoms(D),Zooplankton(P))-plane
[D, P] = meshgrid(-0.8:0.20:200);
% Parameters
K=1; s=1; e=1; r=1; H=1; d=0.75;
%Direction Filed
% Ddot is dD/dt and Pdot is dP/dt derivatives
Ddot = D-(1./K).*D.*D-(s*D)./((1+s.*H.*D)).*P;
Pdot = P.*((s.*D)./(1+s.*H.*D))-P.*d;
% Vector Field
figure
quiver(D,P,Ddot,Pdot,'k','LineWidth',1.5,'AutoScaleFactor',3)
0 Comments
More Answers (0)
See Also
Categories
Find more on Desktop in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!