MATLAB: How to draw the graph of the following two isoclines in Matlab

mathematical modelingodepde

f(x,y)=A-Bx-Lx/(1+Mx)(1+Ny) (1)
g(x,y)=Lx/(1+Mx)(1+Ny)-D-F/(1+Hy) (2)
A=2; B=0.05; L=0.004; M=0.004; N= 0.002; D=0.053; F=0.02; H=0.0004

Best Answer

Hi Parvaiz,
A combination of 'meshgrid' and 'surf' functions may be used in order to do this. The following code snippet may or may not be accurate, but feel free to use it as a starting point.
A=2; B=0.05; L=0.004; M=0.004; N= 0.002; D=0.053; F=0.02; H=0.0004
f = @(x,y)A-B.*x-L.*x./(1+M.*x).*(1+N.*y)
g = @(x,y)L.*x./(1+M.*x)*(1+N.*y)-D-F./(1+H.*y)
[X,Y] = meshgrid(1:5,1:5);
surf(X, Y, f(X,Y));
hold on;
surf(X, Y, g(X,Y));
Regards,
Zenin
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