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Effacer les filtres

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 vue (au cours des 30 derniers jours)
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')

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