How to increase quiver density

I'm trying to analyse te behaviour of a function around where the lies intersect, but there is not a high enough density of vecotr arrows arouhnd those points and that makes analysing it difficult. How fcan I increase the density of the arrows? I don't so much care about their magnitude, but I need to know their direction.

n = 3;
m = 1;
beta = 3;
gamma = 1;
alpha1 = 1;
alpha2 = 1;
startv = 0;
endv = 4;
A = linspace(0.01,endv);

B1 = (((beta/alpha1)./A)-1).^(1/n);
B2 = (gamma/alpha2)./(1+A.^m);

[X,Y] = meshgrid(startv:endv,startv:endv);
U = beta./(1+(Y).^n) - alpha1.*X;
V = gamma./(1+(X).^m)- alpha2.*Y;

figure
hold on
plot(A,B1,'r')

Warning: Imaginary parts of complex X and/or Y arguments ignored.

plot(A,B2,'b')
axis([0 endv 0 endv]);
title(['n = ',num2str(n),' m = ',num2str(m)])
quiver(X,Y,U,V,1)

Answer 1

[Paul]

Hi Joseph,

Use a finer mesh for setting up X and Y:

n = 3;
m = 1;
beta = 3;
gamma = 1;
alpha1 = 1;
alpha2 = 1;
startv = 0;
endv = 4;
A = linspace(0.01,endv);
B1 = (((beta/alpha1)./A)-1).^(1/n);
B2 = (gamma/alpha2)./(1+A.^m);
[X,Y] = meshgrid(startv:0.2:endv,startv:0.2:endv);
U = beta./(1+(Y).^n) - alpha1.*X;
V = gamma./(1+(X).^m)- alpha2.*Y;
figure
hold on
plot(A,B1,'r')

Warning: Imaginary parts of complex X and/or Y arguments ignored.

plot(A,B2,'b')
axis([0 endv 0 endv]);
title(['n = ',num2str(n),' m = ',num2str(m)])
quiver(X,Y,U,V,1)

[Joseph Monarres]

Ohh, I see. Thank you so much!