How to solve SIR model with using DTM (Differential Transform Method)

I am trying to use dtm for solving SIR model, Although my code is run but I think the DTM part is wrong. I need help for DTM part
here is my code
function sir_model_dtm()

% Parameters
alpha = 0.3; % Infection rate
beta = 0.1; % Recovery rate
N = 1000; % Total population
I0 = 1; % Initial number of infected individuals
R0 = 0; % Initial number of recovered individuals
S0 = N – I0 – R0; % Initial number of susceptible individuals

% Time parameters
T = 100; % Total simulation time
dt = 1; % Time step

% Initialize arrays to store results
S = zeros(1, T);
I = zeros(1, T);
R = zeros(1, T);

% Initial conditions
S(1) = S0;
I(1) = I0;
R(1) = R0;

% Simulate the SIR model using DTM
for t = 2:T
% Compute new values
S(t) = S(t-1) – alpha*S(t-1)*I(t-1)/N * dt;
I(t) = I(t-1) + (alpha*S(t-1)*I(t-1)/N – beta*I(t-1)) * dt;
R(t) = R(t-1) + beta*I(t-1) * dt;
end

% Plot the results
t = 0:dt:T-dt;
plot(t, S, ‘b’, t, I, ‘r’, t, R, ‘g’, ‘LineWidth’, 2);
legend(‘Susceptible’, ‘Infectious’, ‘Recovered’);
xlabel(‘Time’);
ylabel(‘Number of individuals’);
title(‘SIR Model’);

endI am trying to use dtm for solving SIR model, Although my code is run but I think the DTM part is wrong. I need help for DTM part
here is my code
function sir_model_dtm()

% Time parameters
T = 100; % Total simulation time
dt = 1; % Time step

% Initialize arrays to store results
S = zeros(1, T);
I = zeros(1, T);
R = zeros(1, T);

% Initial conditions
S(1) = S0;
I(1) = I0;
R(1) = R0;

end I am trying to use dtm for solving SIR model, Although my code is run but I think the DTM part is wrong. I need help for DTM part
here is my code
function sir_model_dtm()

% Time parameters
T = 100; % Total simulation time
dt = 1; % Time step

% Initialize arrays to store results
S = zeros(1, T);
I = zeros(1, T);
R = zeros(1, T);

% Initial conditions
S(1) = S0;
I(1) = I0;
R(1) = R0;

end sir, matlab, dtm, differential equations, transform method, nonlinear, covid19 MATLAB Answers — New Questions

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