SIRC.m

%% System initalization
% Population
N = 1000;
% Initial number of infected individuals
I0 = 10;
% Initial number of recovered individuals
R0 = 0;
% Initial number of carrier individuals
C0 = 0;
% Everyone else is susceptible
S0 = N - I0 - R0 - C0;
% Initial parameteres
nu = 14;
mu = 0.015;
epsilon = 1.2;
beta = 0.0002;
gamma = 0.05;
Gamma = 0.03;
q = 0.8;

time = 200;
%t = linspace(0, time, time);

y0 = [S0, I0, R0, C0];
[t, y] = ode45(@(t, y) deriv(y, nu, mu, epsilon, beta, gamma, Gamma, q), [0 time], y0);

figure(1)
plot(t, y);
xlabel('Time(days)');
ylabel('Number of individuals');
legend('S', 'I', 'R', 'C');


%% Add noise