Why my graph only get one line?
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clear all
clc
clf
% Initial Value and time step
a = 0; % Lower limit of Integration from 21 Oct 2020
b = 700; % Upper limit of Integration at 20 Oct 2021
h = 0.5; % h = delta_x
n = ((b-a)/h); % no. of points
T = 70;
TT = 100;
tau0 = 2*10^-9;
tau1 = 1.41*10^-9;
alpha = 0.0005;
gamma1 = 1/10;%7.31;
gamma2 = 1/15;%0.11;
mu = 1/50;%1.26;
y10 = 8.18*10^7;
y20 = 5.0604*10^3;
y30 = 4.4876*10^3;
y40 = 4590;
y = zeros(n, 4);
x = zeros(n, 1);
y(1, :) = [y10; y20; y30; y40];
x(1) = a;
tau(1) = tau0;
fcn = @(x, y) [-tau(1) * y(1) * (y(2) + y(3)),...
alpha * tau(1) * y(1) * (y(2) + y(3)) - gamma1 * y(2),...
(1-alpha) * tau(1) * y(1) * (y(2) + y(3)) - ((gamma2 + mu) * y(3)),...
gamma1 * y(2) + gamma2 * y(3) ]; % system function
for i = 1:n-1
x( i + 1 ) = x(i) + h;
if (i >= 1) && (i < T);
tau(i) = tau0;
elseif (i >= T) && (i <= TT);
tau(i) = tau0*exp(-alpha*i);
else(i > TT);
tau(i) = tau1;
end
d1 = h * fcn(x(i), y(i, :));
d2 = h * fcn(x(i), y(i, :) + d1 / 2);
d3 = h * fcn(x(i), y(i, :) + d2 / 2);
d4 = h + fcn(x(i), y(i, :) + d3);
y(i+1, :) = y(i, :) + ((d1 + d2 + d3 + d4)* (h / 6));
end
figure(1)
plot(x,y(:,3),'blue')
hold on
%%%%%
clear all
clc
clf
% Initial Value and time step
a = 0; % Lower limit of Integration from 21 Oct 2020
b = 700; % Upper limit of Integration at 20 Oct 2021
h = 0.5; % h = delta_x
n = ((b-a)/h); % no. of points
T = 70;
TT = 100;
tau0 = 2*10^-9;
tau1 = 1.41*10^-9;
alpha = 0.01;
gamma1 = 1/10;
gamma2 = 1/15;
mu = 1/50;
y10 = 8.18*10^7;
y20 = 5.0604*10^3;
y30 = 4.4876*10^3;
y40 = 4590;
y = zeros(n, 4);
x = zeros(n, 1);
y(1, :) = [y10; y20; y30; y40];
x(1) = a;
tau(1) = tau0;
fcn = @(x, y) [-tau(1) * y(1) * (y(2) + y(3)),...
alpha * tau(1) * y(1) * (y(2) + y(3)) - gamma1 * y(2),...
((1-alpha) * tau(1) * y(1) * (y(2) + y(3))) - ((gamma2 + mu) * y(3)),...
gamma1 * y(2) + gamma2 * y(3) ]; % system function
for i = 1:n-1
x( i + 1 ) = x(i) + h;
if (i >= 1) && (i < T);
tau(i) = tau0;
elseif (i >= T) && (i <= TT);
tau(i) = tau0*exp(-alpha*i);
else(i > TT);
tau(i) = tau1;
end
d1 = h * fcn(x(i), y(i, :));
d2 = h * fcn(x(i), y(i, :) + d1 / 2);
d3 = h * fcn(x(i), y(i, :) + d2 / 2);
d4 = h + fcn(x(i), y(i, :) + d3);
y(i+1, :) = y(i, :) + ((d1 + d2 + d3 + d4)* (h / 6));
end
figure(1)
plot(x,y(:,3),'red')
hold on
%%%%%%%%%%%%%%%%%%
clear all
clc
clf
% Initial Value and time step
a = 0; % Lower limit of Integration from 21 Oct 2020
b = 700; % Upper limit of Integration at 20 Oct 2021
h = 0.5; % h = delta_x
n = ((b-a)/h); % no. of points
T = 70;
TT = 100;
tau0 = 2*10^-9;
tau1 = 1.41*10^-9;
alpha = 0.1;
gamma1 = 1/10;
gamma2 = 1/15;
mu = 1/50;
y10 = 8.18*10^7;
y20 = 5.0604*10^3;
y30 = 4.4876*10^3;
y40 = 4590;
y = zeros(n, 4);
x = zeros(n, 1);
y(1, :) = [y10; y20; y30; y40];
x(1) = a;
tau(1) = tau0;
fcn = @(x, y) [-tau(1) * y(1) * (y(2) + y(3)),...
alpha * tau(1) * y(1) * (y(2) + y(3)) - gamma1 * y(2),...
((1-alpha) * tau(1) * y(1) * (y(2) + y(3))) - ((gamma2 + mu) * y(3)),...
gamma1 * y(2) + gamma2 * y(3) ]; % system function
for i = 1:n-1
x( i + 1 ) = x(i) + h;
if (i >= 1) && (i < T);
tau(i) = tau0;
elseif (i >= T) && (i <= TT);
tau(i) = tau0*exp(-alpha*i);
else(i > TT);
tau(i) = tau1;
end
d1 = h * fcn(x(i), y(i, :));
d2 = h * fcn(x(i), y(i, :) + d1 / 2);
d3 = h * fcn(x(i), y(i, :) + d2 / 2);
d4 = h + fcn(x(i), y(i, :) + d3);
y(i+1, :) = y(i, :) + ((d1 + d2 + d3 + d4)* (h / 6));
end
figure(1)
plot(x,y(:,3),'cyan')
hold on
clear all
clc
clf
% Initial Value and time step
a = 0; % Lower limit of Integration from 21 Oct 2020
b = 700; % Upper limit of Integration at 20 Oct 2021
h = 0.5; % h = delta_x
n = ((b-a)/h); % no. of points
T = 70;
TT = 100;
tau0 = 2*10^-9;
tau1 = 1.41*10^-9;
alpha = 0.45;
gamma1 = 1/10;%7.31;
gamma2 = 1/15;%0.11;
mu = 1/50;%1.26;
y10 = 8.18*10^7;
y20 = 5.0604*10^3;
y30 = 4.4876*10^3;
y40 = 4590;
y = zeros(n, 4);
x = zeros(n, 1);
y(1, :) = [y10; y20; y30; y40];
x(1) = a;
tau(1) = tau0;
fcn = @(x, y) [-tau(1) * y(1) * (y(2) + y(3)),...
alpha * tau(1) * y(1) * (y(2) + y(3)) - gamma1 * y(2),...
((1-alpha) * tau(1) * y(1) * (y(2) + y(3))) - ((gamma2 + mu) * y(3)),...
gamma1 * y(2) + gamma2 * y(3) ]; % system function
for i = 1:n-1
x( i + 1 ) = x(i) + h;
if (i >= 1) && (i < T);
tau(i) = tau0;
elseif (i >= T) && (i <= TT);
tau(i) = tau0*exp(-alpha*i);
else(i > TT);
tau(i) = tau1;
end
d1 = h * fcn(x(i), y(i, :));
d2 = h * fcn(x(i), y(i, :) + d1 / 2);
d3 = h * fcn(x(i), y(i, :) + d2 / 2);
d4 = h + fcn(x(i), y(i, :) + d3);
y(i+1, :) = y(i, :) + ((d1 + d2 + d3 + d4)* (h / 6));
end
figure(1)
plot(x,y(:,3),'green')
hold on
clear all
clc
clf
% Initial Value and time step
a = 0; % Lower limit of Integration from 21 Oct 2020
b = 700; % Upper limit of Integration at 20 Oct 2021
h = 0.5; % h = delta_x
n = ((b-a)/h); % no. of points
T = 70;
TT = 100;
tau0 = 2*10^-9;
tau1 = 1.41*10^-9;
alpha = 0.5;
gamma1 = 1/10;%7.31;
gamma2 = 1/15;%0.11;
mu = 1/50;%1.26;
y10 = 8.18*10^7;
y20 = 5.0604*10^3;
y30 = 4.4876*10^3;
y40 = 4590;
y = zeros(n, 4);
x = zeros(n, 1);
y(1, :) = [y10; y20; y30; y40]; %
x(1) = a;
tau(1) = tau0;
fcn = @(x, y) [-tau(1) * y(1) * (y(2) + y(3)),...
alpha * tau(1) * y(1) * (y(2) + y(3)) - gamma1 * y(2),...
((1-alpha) * tau(1) * y(1) * (y(2) + y(3))) - ((gamma2 + mu) * y(3)),...
gamma1 * y(2) + gamma2 * y(3) ]; % system function
for i = 1:n-1
x( i + 1 ) = x(i) + h;
if (i >= 1) && (i < T);
tau(i) = tau0;
elseif (i >= T) && (i <= TT);
tau(i) = tau0*exp(-alpha*i);
else(i > TT);
tau(i) = tau1;
end
d1 = h * fcn(x(i), y(i, :));
d2 = h * fcn(x(i), y(i, :) + d1 / 2);
d3 = h * fcn(x(i), y(i, :) + d2 / 2);
d4 = h + fcn(x(i), y(i, :) + d3);
y(i+1, :) = y(i, :) + ((d1 + d2 + d3 + d4)* (h / 6));
end
figure(1)
plot(x,y(:,3),'yellow')
hold on
clear all
clc
clf
% Initial Value and time step
a = 0; % Lower limit of Integration from 21 Oct 2020
b = 700; % Upper limit of Integration at 20 Oct 2021
h = 0.5; % h = delta_x
n = ((b-a)/h); % no. of points
T = 70;
TT = 100;
tau0 = 2*10^-9;
tau1 = 1.41*10^-9;
alpha = 0.95;
gamma1 = 1/10;%7.31;
gamma2 = 1/15;%0.11;
mu = 1/50;%1.26;
y10 = 8.18*10^7;
y20 = 5.0604*10^3;
y30 = 4.4876*10^3;
y40 = 4590;
y = zeros(n, 4);
x = zeros(n, 1);
y(1, :) = [y10; y20; y30; y40];
x(1) = a;
tau(1) = tau0;
fcn = @(x, y) [-tau(1) * y(1) * (y(2) + y(3)),...
alpha * tau(1) * y(1) * (y(2) + y(3)) - gamma1 * y(2),...
((1-alpha) * tau(1) * y(1) * (y(2) + y(3))) - ((gamma2 + mu) * y(3)),...
gamma1 * y(2) + gamma2 * y(3) ]; % system function
for i = 1:n-1
x( i + 1 ) = x(i) + h; % Not: "x(i+1) = 1*h", but maybe: "i * h"
if (i >= 1) && (i < T);
tau(i) = tau0;
elseif (i >= T) && (i <= TT);
tau(i) = tau0*exp(-alpha*i);
else(i > TT);
tau(i) = tau1;
end
d1 = h * fcn(x(i), y(i, :));
d2 = h * fcn(x(i), y(i, :) + d1 / 2);
d3 = h * fcn(x(i), y(i, :) + d2 / 2);
d4 = h + fcn(x(i), y(i, :) + d3);
y(i+1, :) = y(i, :) + ((d1 + d2 + d3 + d4)* (h / 6));
end
figure(1)
plot(x,y(:,3),'magenta')
hold off
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