Filter löschen
Filter löschen

Im trying to plot stable and unstable equilibrium solutions for my graph but Im not sure where or how to use the fzero function to do so for dx1 and dx2

1 Ansicht (letzte 30 Tage)
close all; clear all;
% This Matlab code generates a vector field for the system of ODEs
% dx1/dt = f(x1,x2), dx2/dt = g(x1,x2)
x1min = -1; x1max = 6; x2min = -1; x2max = 6;
x1step = 0.5; x2step = 0.5;
[x1, x2] = meshgrid(x1min:x1step:x1max, x2min:x2step:x2max);
a = 1.5;
b = 1.1;
g =2.5;
d =1.4;
dx1 = -a.*x1+b.*x1.*x2;
dx2 = g.*x2-d.*x1.*x2;
dx1 = dx1./sqrt(dx1.^2 + dx2.^2);
dx2 = dx2./sqrt(dx1.^2 + dx2.^2);
axis([x1min x1max x2min x2max]);
xlabel('$x1$','Interpreter','latex')
ylabel('$x2$','Interpreter','latex')
title('Vector field example','Interpreter','latex')
nullX1= -a + b.*x2;
nullX2= g - d.*x1;
x=linspace(-1,6,size(nullX1,1));
quiver(x1, x2, dx1,dx2,'AutoScaleFactor',0.5)
hold on
plot(x,nullX1,'r-')
hold on
plot(x,nullX2,'k-')
hold on
legend('flow','nullX1','nullX2')
[t,x] = ode45(@ODE45Fun,[0,30],[0.5,1]);
plot(t,x(:,1),'g-',t,x(:,2),'b-')
hold on
fzero(dx1,0)
grid
xlabel('Number of Years')
ylabel('Predator-Prey Pop.')
title('Lotka Voltera Pred-Prey Pop.Figure1')

Antworten (0)

Kategorien

Mehr zu Source Control Integration finden Sie in Help Center und File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by