MATLAB: 2-D plot with z-axis given in color

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My friends and I have been struggling to generate a 2-D plot in MATLAB with eta_1 and eta_2 both varying in 0:0.01:1 and the z-axis given by color.

We have a system of 8 differential equations, with HIVinf representing the total new HIV infections in a population over 1 year (HIVinf is obtained by integrating a function of eta_1, eta_2).

We are looping through eta_1 and \eta_2 (two 'for' loops) with the ode45 solver within the 'for' loops.

Based on our prior numerical results, we should be getting much color variation in the 2D-plot. There should be patterns of darkness (high concentration of HIVinfections) along the edges of the plot, and lightness along the diagonals (low concentrations).

However, the following snippet does not produce what we want (I have attached the figure below).

    [X,Y] = meshgrid(eta_11,eta_22);
    figure;
    pcolor(X,Y,AA); 
    shading interp;

[1]: http://i.stack.imgur.com/XNM7b.jpg

I have attached the code below, as concisely as possible. The function ydot works fine (it is required to run ode45).

*We would greatly appreciate if you could help us fix the snippet.*

----------

    function All()
    global Lambda mu mu_A mu_T beta tau eta_1 eta_2 lambda_T rho_1 rho_2 gamma
    alpha = 20;
    TIME = 365;
    eta_11 = zeros(1,alpha);
    eta_22 = zeros(1,alpha); 
    AA = zeros(1,alpha);
    BB = zeros(1,alpha);
    CC = zeros(1,alpha);
    for n = 1:1:alpha
        for m = 1:1:alpha 
        Lambda = 531062; 
        mu = 1/25550;
        mu_A = 1/1460;
        mu_T = 1/1825;
        beta = 187/365000; 
        tau = 4/365;  
        lambda_T = 1/10;
        rho_1 = 1/180;
        rho_2 = 1/90;
        gamma = 1/1000;
        eta_1 = (n-1)./(alpha-1);
        eta_11(m) = (m-1)./(alpha-1);
        eta_2 = (m-1)./(alpha-1);
        eta_22(m) = (m-1)./(alpha-1);
        y0 = [191564208, 131533276, 2405629, 1805024, 1000000, 1000000, 500000, 500000];
        [t,y] = ode45('SimplifiedEqns',[0:1:TIME],y0);
        N = y(:,1)+y(:,2)+y(:,3)+y(:,4)+y(:,5)+y(;,6)+y(:,7)+y(:,8);
        HIVinf1=[0:1:TIME];
        HIVinf2=[beta.*(S+T).*(C1+C2)./N];
        HIVinf=trapz(HIVinf1,HIVinf2);
        AA(n,m) = HIVinf;
        end    
    end
    [X,Y] = meshgrid(eta_11,eta_22);
    figure;
    pcolor(X,Y,AA); 
    shading interp;
    function ydot = SimplifiedEqns(t,y)
    global Lambda mu mu_A mu_T beta tau eta_1 eta_2 lambda_T rho_1 rho_2 gamma
    S = y(1);
    T = y(2);
    H = y(3); 
    C = y(4);
    C1 = y(5); 
    C2 = y(6);
    CM1 = y(7); 
    CM2 = y(8);
    N = S + T + H + C + C1 + C2 + CM1 + CM2;
    ydot = zeros(8,1);
    ydot(1)=Lambda-mu.*S-beta.*(H+C+C1+C2).*(S./N)-tau.*(T+C).*(S./N);
    ydot(2)=tau.*(T+C).*(S./N)-beta.*(H+C+C1+C2).*(T./N)-(mu+mu_T).*T;
    ydot(3)=beta.*(H+C+C1+C2).*(S./N)-tau.*(T+C).*(H./N)-(mu+mu_A).*H;
    ydot(4)=beta.*(H+C+C1+C2).*(T./N)+tau.*(T+C).*(H./N)-   (mu+mu_A+mu_T+lambda_T).*C;
    ydot(5)=lambda_T.*C-(mu+mu_A+rho_1+eta_1).*C1;
    ydot(6)=rho_1.*C1-(mu+mu_A+rho_2+eta_2).*C2;
    ydot(7)=eta_1.*C1-(mu+rho_1+gamma).*CM1;
    ydot(8)=eta_2.*C2-(mu+rho_2+gamma.*(rho_1)./(rho_1+rho_2)).*CM2+(rho_1).*CM1;
    end
    end

采纳的回答

Star Strider
Star Strider 2015-4-8
I am not certain exactly what you want to do, but it would seem to be ideal for the contour function. You can also use surf with the appropriate view setting. (Experiment with that interactively.) I would experiment with image rather than pcolor, because pcolor treats your values as the edges of the segments (so you get one fewer of them in each dimension) rather than the centres.
(Indeed your Question is not spam, so I removed that. The spam filter isn’t perfect.)
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