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Please, I want help in adjusting the quality of the figure surface shape as in the attached picture (as in color, and colored lines in the horizontal plane)

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T K
T K 2022-12-25
移动：Walter Roberson 2022-12-29
options = odeset('RelTol',1e-6,'Stats','on');
% initial conditions
Xo = [0.5; 0.7; 2];
% choose parameters t and a
tspan = linspace(0,100);
a_vec = 0.01 : 0.005 : 0.03;
% ease the coding and readability
num_t = numel(tspan);
num_a = numel(a_vec);
num_x = numel(Xo);
% allocate output
X = zeros(num_t,num_x,num_a);
for idx = 1:num_a
% Collect all X values into a 3D matrix. Additional parameters to
% TestFunction can be added after ode45 options
[t,X(:,:,idx)] = ode45(@TestFunction,tspan,Xo,options,a_vec(idx));
end
% make sure we have the proper dimmensions before calling surf
plot_t = repmat(t,1,num_a);
plot_a = repmat(a_vec,num_t,1);
plot_x = squeeze(X(:,1,:));
% create the surf plot
figure
surf(plot_t,plot_a,plot_x)
xlabel('t values')
ylabel('a values')
zlabel('x values')
grid on
function [dx_dt]= TestFunction(~,x,a)
r=0.05; k=0.1; %a=0.02;
m=0.02; b=0.2; eta=0.06; h=1;
dx_dt(1)=r.*x(1).*(1-(x(1)./k))-a.*x(1).*x(3)+x(3).*eta;
dx_dt(2)=a.*x(1).*x(3)-m.*x(2)-b.*x(2)+h.*eta;
dx_dt(3)=b.*x(2)-eta.*x(3)-r.*x(1);
dx_dt = dx_dt';
end
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T K
T K 2022-12-26
options = odeset('RelTol',1e-6,'Stats','on');
% initial conditions
Xo = [0.5; 0.7; 2];
% choose parameters t and a
tspan = linspace(0,100);
a_vec = 0.01 : 0.005 : 0.03;
% ease the coding and readability
num_t = numel(tspan);
num_a = numel(a_vec);
num_x = numel(Xo);
% allocate output
X = zeros(num_t,num_x,num_a);
for idx = 1:num_a
% Collect all X values into a 3D matrix. Additional parameters to
% TestFunction can be added after ode45 options
[t,X(:,:,idx)] = ode45(@TestFunction,tspan,Xo,options,a_vec(idx));
end
% make sure we have the proper dimmensions before calling surf
plot_t = repmat(t,1,num_a);
plot_a = repmat(a_vec,num_t,1);
plot_x = squeeze(X(:,1,:));
% create the surf plot
figure
surf(plot_t,plot_a,plot_x)
xlabel('t values')
ylabel('a values')
zlabel('x values')
grid on
function [dx_dt]= TestFunction(~,x,a)
r=0.05; k=0.1; %a=0.02;
m=0.02; b=0.2; eta=0.06; h=1;
dx_dt(1)=r.*x(1).*(1-(x(1)./k))-a.*x(1).*x(3)+x(3).*eta;
dx_dt(2)=a.*x(1).*x(3)-m.*x(2)-b.*x(2)+h.*eta;
dx_dt(3)=b.*x(2)-eta.*x(3)-r.*x(1);
dx_dt = dx_dt';
end

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采纳的回答

Walter Roberson
Walter Roberson 2022-12-28
移动：Walter Roberson 2022-12-29
Ran in:
It is not clear to me what changes you want.
If you want a plot that is smoother along the a axis then you ned to use more a_vec values.
options = odeset('RelTol',1e-6,'Stats','on');
% initial conditions
Xo = [0.5; 0.7; 2];
% choose parameters t and a
tspan = linspace(0,100);
a_vec = 0.01 : 0.005 : 0.03;
% ease the coding and readability
num_t = numel(tspan);
num_a = numel(a_vec);
num_x = numel(Xo);
% allocate output
X = zeros(num_t,num_x,num_a);
for idx = 1:num_a
% Collect all X values into a 3D matrix. Additional parameters to
% TestFunction can be added after ode45 options
[t,X(:,:,idx)] = ode45(@TestFunction,tspan,Xo,options,a_vec(idx));
end
34 successful steps 0 failed attempts 205 function evaluations 34 successful steps 0 failed attempts 205 function evaluations 34 successful steps 0 failed attempts 205 function evaluations 34 successful steps 0 failed attempts 205 function evaluations 34 successful steps 0 failed attempts 205 function evaluations
% make sure we have the proper dimmensions before calling surf
plot_t = repmat(t,1,num_a);
plot_a = repmat(a_vec,num_t,1);
plot_x = squeeze(X(:,1,:));
% create the surf plot
figure
surf(plot_t,plot_a,plot_x)
xlabel('t values')
ylabel('a values')
zlabel('x values')
grid on
%adjust color
colormap(jet)
%another way of adjusting color
lighting GOURAUD
shading interp
%colored lines on the horizontal plane
ax = gca;
ax.XAxis.Color = 'b';
ax.YAxis.Color = 'r';
%but maybe this is what you mean about colored lines...
figure();
surfc(plot_t,plot_a,plot_x)
xlabel('t values')
ylabel('a values')
zlabel('x values')
grid on
function [dx_dt]= TestFunction(~,x,a)
r=0.05; k=0.1; %a=0.02;
m=0.02; b=0.2; eta=0.06; h=1;
dx_dt(1)=r.*x(1).*(1-(x(1)./k))-a.*x(1).*x(3)+x(3).*eta;
dx_dt(2)=a.*x(1).*x(3)-m.*x(2)-b.*x(2)+h.*eta;
dx_dt(3)=b.*x(2)-eta.*x(3)-r.*x(1);
dx_dt = dx_dt';
end

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