timespan=[0 15];
y0 = [0 1 0 1 0 1];
[t,y] = ode45(@repressilator,timespan,y0);
figure()
plot(t,y)
xlabel('Time')
ylabel('Amount')
legend('m1','p1','m2','p2','m3','p3','Location','SouthEast')
figure()
plot(y(:,1), y(:,2))
xlabel('Amount m1')
ylabel('Amount p1')
function ydot=repressilator(~,y)
alpha0 = 1;
n = 2.0;
beta = 5;
alpha = 1000;
% order of species; y = [m1 p1 m2 p2 m3 p3]
m1 = -y(1) + alpha/(1+y(6)^n) + alpha0;
p1 = -beta*(y(2) - y(1));
m2 = -y(3) + alpha/(1+y(2)^n) + alpha0;
p2 = -beta*(y(4) - y(3));
m3 = -y(5) + alpha/(1+y(4)^n) + alpha0;
p3 = -beta*(y(6) - y(5));
ydot = [m1; p1; m2; p2; m3; p3];
end
